West U is quite bike friendly, so is NW (Terry Hershey Park).
There are several group rides during the weekends. Take a look at www.bikebarn.com under ride calendar, and at www.saturdayride.com
There's also some groups riding on the weekends in the surrounding area, like Southwest Houston (SWCC), Pearland Cycling, and others.
Good luck and Happy 4th of July!