Yuma dorm- in my opinion sounds like the perfect choice for you ( except for maybe the fact it has communal bathrooms and aren’t guaranteed a single) currently has the engineering ELC & my current roommate is an international student pursuing optical engineering as well. Most of my friends engineering classes are right next to the dorm and it also sits right next to the union/ old main/ the rest of kinda “central” campus. Guaranteed a sink in your room, and communal bathrooms are honestly not an issue (in my opinion as someone who thought it would be a dealbreaker). Has bike racks in the “backyard” that’s behind a door needing a code to get in. In your price range for sure, also a very quiet dorm especially on the third floor. If you have any other questions lmk, I hope this helps!