I'm working with a couple groups of students looking for the same thing and 4 baths is tough. Could you make 3 work? I have a 4 bed 3 bath right by campus that is within your budget. Please email me and I can send you the property details.
Realty One Group
There are 35 leases on the MLS in a 2.5 mi radius from UCI, they range from 2350-8000/mo. I would check with a local realtor who can look at the MLS and show you property and also check apartment buildings and websites, also craigslist.org. You need to start getting serious by early August, the rental market in Orange County is very hot just like the residential sales market (especially in college cities like Orange and Irvine), the sooner you can get a commitment the better.
Let me know if you need any help
I saw your other post regarding your school/home search. Turtle Rock Elementary is a great school. If you still need help with listings please get in touch with me.