A schematic would help determine a good course of action rather than choosing arbitrary values.
The flub comes from excess bass, as you are aware. You can trim this either through a coupling cap or cathode bypass cap or a combination of both. Picking the value of either really depends on how the circuit is tuned. A lot of these awful modern high gain amps use 1n coupling caps which are ridiculously small and partly why a lot of this modern high gain stuff sounds thin and anemic when compared to something like a 2203. Even a boosted 2203 has the same issue with low end as the boost will either help cut some off or you can reduce the preamp volume control to allow a bright cap to pass signal. Those act like a variable high pass filter for the most part until the divider formed by the control gets too low. I tend to use a larger bright cap, somewhere around 4700pF or I'll even hardwire one into a gain stage that won't have a variable control in high gain circuits.
All in all, yes, you can absolutely wire in a 3 way coupling cap selector. Without seeing the circuit I don't know which values to select because you can implement this following the first, second or third stage. I like to limit bass very little early in the circuit and do the larger trimming later since you don't necessarily want to lose all the harmonics generated bynd quite distortion through the full spectrum. I would say this is mainly why certain high gain amps sound thin as they chop it all off right after the first stage. A 3-way selector to go from 2.2n, 6.8n, and 10n would be a good mix in a high gain circuit or 6.8n, 10n, and 22n. Experiment with placement in the circuit.