$2500 is doable Downtown San Diego, but it won't be amazing with water views, etc.
PB, OB, or La Jolla might be better options, but again, it won't be right on the beach.
If you want, email me or give me a call and I can send you a list of currently available properties, so you get the feel for the market.
Good luck in your search,
Prudential California Realty