...It depends, buy a bunch and try them yourself.
That's my advice too. You're on the right track searching for IC sockets. These are available from Mouser and others. The pin-out changing sockets will be a little bit high profile, so you may want to check the dimensions on the data sheets to make sure IC Socket + Pin Changer + Op amp will fit inside your pedal. Most dual op amps use the Pin 8 for Positive supply voltage and Pin 4 for negative supply, so you will be able to try almost all opamps you want without a pin changing adapter. Usually the Op Amps that use pin 7 for hot are single op amps, and you won't be able to substitute those for a dual, anyway.
This op amp issue is very subjective. We can point to specs and calculate what the bandwidth, distortion, recovery behavior and have an idea of the extent of slew rate distortion. It all makes a difference to the sound, but who's to say that one person won't like an op amp that generates a certain amount of slew rate distortion while another person likes the sound of an "academically correct" circuit?
When you learn about op-amps and study the data sheets you will begin to associate your tastes with certain characteristics in the op amp. At that point you will be able to better predict what kind of op amps will sound good.
My personal opinion is that changing op amps in a circuit makes such a subtle difference in the sound that I am able to fool myself in a blind test. For me, it's not worth my time unless the circuit has noisey or really poor quality devices. There are some op amps which truly are abysmal sounding, but these are few compared to the rest that don't seem to make much difference. I would rather be playing with diodes, capacitors and resistors where you can make radical changes to the sound

If you want the op amp to have a small audible effect on your circuit, then use high slew rate, high gain, low distortion op amps that are able to recover from clipping gracefully. For most applications, something with better than 16 V/us slew rate, and .01% THD will have minimal effect on the sound from one device to another.
If you really want the op amp to color your sound, then you would likely be best suited experimenting with low grade op amps that are pushed outside of their specified range by the circuit in question...but then again, you ultimately will be the judge of whether a subtle change makes it sound "just right".