Completely different cameras. I'd say if video is important, definitely a6600. Or if you plan on shooting fast moving subjects, a6600.
If resolution is the end-all goal (say primarily landscape photography), then A7Rii.
I mainly will photograph street, document, travel. Is the a6600 my better option?
Also, the a6600 vs a6400 - does the IBIS make any difference?
Travel. Where do you go, what do you carry, how much weight do you want to carry? Check all the lenses you might want to take with you and consider size and weight - especially if you are travelling by plane. Does "travel" mean hiking? An A6600 system has quite a size weight advantage. I'd do this calculation first.
Then consider the af/tracking question. I used an A7r2 for travel and the af was fine for street work as long as the subject was street walkabout pace. Anything like sports or wildlife and it is too slow. You will get some shots OK but you will get more keepers with the A6600. If your street photography means people, the A6600 has another plus. Its face/eye detect will give priority to people. The A7r2 will select high contrast edges and this may or may not be the subject you want.
I think IBIS is worth having in both of them. But. I no longer worry too much about iso, especially for streetwork. I'll happily crank up iso to freeze action and if the result has more noise than I want, I use Topaz post process to fix it.