Mike,
> would 2-3 big bass traps in front of the LCR speakers mess up my mids and highs. <
If you put any absorber directly between a loudspeaker and your ears, "mess up" is surely the correct word.
> what is the quantity of bass traps that is equivalent to too many bass traps in a room? <
As far as I'm concerned it's not possible to have too many bass traps. You can definitely have too much absorption at mid and high frequencies, but not below about 300 Hz. I have 40 traps in my living room home theater, and every time I added more the low end got progressively better. Of course, the first 8 traps definitely helped more than the last 8, but they all contribute in a positive way.
Look at it this way: A room with no bass traps has a response that's riddled with numerous peaks and deep nulls. The resonances at the peak frequencies also ring (sustain) even after the sound source stops. So it really comes down to how skewed a response, and how much ringing, are acceptable to you.
--Ethan