This is perhaps my biased view as a theorist, but I've collaborated quite a bit with a condensed-phase 2D-IR group and a little with a UV resonance Raman group, so I have some understanding of the experimental perspective as well.
For anything outside of the simplest models, like a 2- or 3-state system you can scribble on an envelope, or the simplest molecules that would display configurational dynamics, like short peptides or single amino acids, experiment strongly benefits from computation. Have fun searching the literature for tables of IR peak frequencies, looking at the assigned normal modes, (which are sometimes compound motions), and then seeing if any of those match your hopefully very similar structure. If the molecular structures are known, then for simple cases a few of the conformers can be made by hand using your favorite computer program or a partially-automated conformer search, have their geometries optimized, and harmonic vibrational frequencies calculated to at least qualitative accuracy in an afternoon. Then it's a matter of clicking around in a visualization tool to see which interesting peaks correspond to which normal modes.
If populated conformers are harder to find, such as in systems that are larger with many rotatable bonds or have substantial librational motion, an exhaustive conformer search may be too expensive in terms of computer time, and running molecular dynamics trajectories with some sort of post-trajectory clustering analysis is an alternative, since IR and Raman spectra can be generated from trajectories via velocity, dipole, and polarizability autocorrelation functions.
Example
Here is an example where a lithium cation is interacting with L-proline in two ways: 1. with the backbone-bound carboxylic acid, and 2. with the ring. Perhaps this is cheating, because it isn't a single molecule, it's two different coordination modes, but you would see something similar with an intramolecular conformational change or rearrangement such as keto-enol tautomerization.

Here are their respective vibrational spectra within the harmonic approximation.

Already without any assistance, we can see huge changes outside of the fingerprint region. This is similar to how hydrogen bonding in water changes the IR spectra when moving from molecules to the bulk. The three most notable changes going from backbone- to ring- bound are
a blueshift (increase in energy) of the carbonyl peak, moving it from 1760 to 1852 wavenumbers,
the intensity increase of the ring $\ce{C-H}$ stretches below 3000 wavenumbers, and
a few changes above 3500 wavenumbers.
1 is probably due to charge transfer into an antibonding orbital localized on the carbonyl group. However, it's also strongly coupled to the $\ce{-OH}$, so interactions there will have an indirect effect. I'm less sure about the $\ce{C-H}$ stretches, but they belong to the three hydrogens closest to the $\ce{Li+}$ (7, 11, and 14), and Mulliken charges don't support a CT idea, which isn't surprising and doesn't rule it out. For number 3, the $\ce{-OH}$ stretch moves from 3686 to 3439. This redshift is probably a result of the blueshift to the coupled mode; assuming that the total vibrational energy between conformers is similar ($E_{\text{ZPE}} = 90.100$ vs. $\pu{90.182 kcal/mol}$ here), vibrational energy tends to be redistributed evenly and in ways that make physical sense; see here for a discussion about how this simplified two-mode coupling works which might also be applicable here.
Frequencies are in wavenumbers (cm$^{-1}$) and intensities are in units of km/mol. Modes below 1200 wavenumbers are commented out.
$$
\begin{array}{rrrr}%
\hline%
\text{backbone frequencies} & \text{backbone intensities} & \text{ring frequencies} & \text{ring intensities} \\
\hline%
%% 30.91 & 2.37 & 62.75 & 4.92 \\
%% 88.36 & 6.77 & 91.13 & 2.54 \\
%% 168.98 & 24.56 & 146.67 & 15.42 \\
%% 200.22 & 35.17 & 239.15 & 53.54 \\
%% 301.33 & 5.59 & 299.49 & 10.23 \\
%% 323.29 & 67.62 & 399.53 & 47.70 \\
%% 393.10 & 18.41 & 436.61 & 77.33 \\
%% 423.78 & 49.21 & 454.79 & 10.29 \\
%% 485.16 & 69.90 & 517.44 & 4.46 \\
%% 534.48 & 56.37 & 541.24 & 57.13 \\
%% 565.71 & 45.28 & 582.68 & 14.18 \\
%% 625.82 & 27.87 & 622.71 & 9.03 \\
%% 663.98 & 12.16 & 703.37 & 26.78 \\
%% 754.48 & 22.99 & 758.60 & 12.72 \\
%% 802.57 & 16.27 & 808.16 & 50.74 \\
%% 842.01 & 5.53 & 823.92 & 48.36 \\
%% 858.14 & 14.85 & 863.84 & 7.69 \\
%% 875.87 & 27.62 & 875.21 & 13.13 \\
%% 897.13 & 13.53 & 912.31 & 2.55 \\
%% 919.58 & 0.12 & 928.34 & 12.11 \\
%% 966.10 & 12.84 & 952.79 & 7.90 \\
%% 1007.42 & 0.12 & 1017.17 & 0.53 \\
%% 1034.74 & 23.77 & 1056.15 & 1.11 \\
%% 1070.65 & 26.45 & 1116.38 & 40.56 \\
%% 1154.24 & 13.04 & 1119.11 & 9.28 \\
%% 1161.61 & 3.40 & 1148.10 & 7.38 \\
%% 1181.00 & 74.31 & 1173.28 & 7.56 \\
1213.61 & 4.92 & 1203.94 & 6.81 \\
1222.70 & 2.73 & 1228.83 & 4.07 \\
1263.58 & 152.20 & 1261.21 & 39.44 \\
1279.48 & 0.73 & 1272.66 & 12.99 \\
1314.79 & 1.01 & 1321.29 & 57.22 \\
1328.39 & 58.17 & 1342.94 & 314.05 \\
1366.92 & 47.01 & 1365.77 & 74.02 \\
1390.24 & 127.09 & 1402.33 & 19.65 \\
1424.08 & 13.57 & 1522.07 & 16.68 \\
1432.59 & 5.88 & 1561.70 & 0.40 \\
1460.15 & 3.30 & 1572.71 & 24.88 \\
1760.04 & 284.35 & 1851.86 & 270.80 \\
2976.69 & 25.42 & 2607.42 & 324.10 \\
2983.82 & 7.16 & 2806.11 & 147.60 \\
2993.71 & 4.29 & 2900.28 & 54.24 \\
3000.08 & 8.94 & 3024.05 & 5.13 \\
3039.46 & 13.36 & 3027.04 & 2.76 \\
3063.00 & 5.22 & 3061.92 & 2.04 \\
3075.69 & 4.87 & 3074.89 & 3.80 \\
3477.77 & 29.07 & 3438.98 & 235.23 \\
3685.91 & 93.01 & 3527.08 & 36.70 \\%
\hline%
\end{array}%
$$
All calculations were performed using B97-D/def2-SVP. See source for XYZ structures.