You don't have a lot of reliable hosts accepting Bitcoins, but the ones that do charge more then 5 mBTC/m
I'm sure you can find a less reliable host but it's really risky, if you want better security (As secure as shared hosting can get:|)
I will definitely recommend doubling your budget and going for Namecheap or another reliable company:
https://www.namecheap.com/support/payment-options/bitcoin.aspxIf you don't, then simply follow the previous advice and search for "bitcoin hosting" on Google