"Unlimited" web hosting is a bit of a scam it counts on the fact that you will never use that much resources. If you examine the terms of service there is usually a stipulation about resource usage that limits you and they will suspend your account if you violate it.
Also for cheaper bitcoin web hosting then that check here:
https://www.bitronictech.net/bitcoin-web-hosting.phpStarting from 0.006BTC per month.