Stop Payment on New Apartment App Fee?

I recently went to an apartment complex and initially thought I loved it...paid the $45 app fee and $100 deposit. After reading horrible reviews online I have changed my mind about living there, and my app still hasn't been processed because I haven't given them all the necessary forms. What recourse does the apartment complex have if I were to place a stop payment on the checks? I know the app fee may not be refundable and I may have signed something saying just that, but should the deposit be refundable if I never even move in? Can I just pay my bank the "stop payment" fee, or will I live in fear of litigation from the property managers?