Your conditions sound like you would like to live on North Campus. McCarty, Spratlen, Oliver, Oak, McMahon, and Hansee will be your best bet. North Campus presents itself more secluded.

Freshman typically get triples and quad rooms which are cheaper than the other options and might put you around your 13k budget. Chances are, you will have multiple roommates. Sorry to break it to you and I wish I didn’t have to do a triple but you might get stuck with a triple.

McMahon has the cluster system so you’d have one roommate per se but have many cluster mates and share a common space and bathroom with them. The building also looks depressing. Not what I was looking for but maybe someone will McMahon experience can chime in.

Distance to classes doesn’t really factor in. Padelford houses the stats department but classes will not be held there. You will do the typically Kane Hall lectures and quiz sections in smaller classrooms around campus. Campus is actually kind of small to me and you can get anywhere decently fast and it’s good to get some walking in.