In that case HMAC-SHA-256 may be a good choice. It too is immune to length extension attacks, and the HMAC construct has proven itself to greatly augment the strength of the underlying hashing algorithm (e.g. MD5 is considered broken, but HMAC-MD5 is not). It's just twice as expensive as SHA-256, so I'm not sure if that's faster than SHA-512 on software versus HMAC-SHA-256 on hardware.