As said previously, as long as it is accredited, you should be fine with whichever college you pick.
But it's not just the name of the college or how big it is that matters. What some research based colleges offer you is oppurtunity. I'm in Grad school and I had an option to go to a bigger/more research oriented school. The only reason I couldnt was finances so now my research background isnt that vast.
But thats the thing- if you want to get into research- try finding colleges that are active in publication and labs and research. They will have more tie-up with organizations that further do reasearch after you graduate. Check for programs that allow research /thesis as part of their requirements. Build your profile by going to workshops, applying for mentorship and assisting professors. Try to get as much expeirence as you can. All the best. :)