If you are looking at a short sale, chances are it might be in need of repairs that will not allow you to close conventionally. I specialize in the FHA 203K program and it allows you to close "AS-IS", borrow extra money for repairs OR cosmetic changes with only 3.5% down...110% loan to value. All repairs are finished after closing. Even if the AC is older, the cost of a brand new AC with a 15 year warranty is only $50 a month in the loan but could save you $200 a month in electric. Just a thought. If you would like to learn more, feel free to contact me or look through my website, it is loaded with information www.titanhl.com. There is also a loan application and list of documents needed should you want to get a pre-approved loan amount...
The problem with 33634 is the "assigned" public schools may not be the best choice. Also some areas of 33634 may be higher crime.
In your price range, you may have to go North into Pasco County tor South East to Riverview/Ruskin to get lower crime, better schools and a nicer quality house. You may be also able to find a more convenient and safe location in certain areas of 33625, and/or 33624. It may be a smaller home for your desired price range if you want a single family home versus a townhouse.
All the best,