I have my own computer. Most labs have internet access, and most students find the transfer rate at these labs superior to their private machines. Miller Library has certain computers set aside for internet access only, which would be a slight advantage over other general labs on campus. General lab computers may be occupied for word proccessing or other non-internet purposes.
Timing usually has more importance for internet access than location.
I'm a special needs student. There is a lab reserved especially for special needs students. It is important to remember, however, that other labs often make accomodations. The student need only make a request.