I believe at least some species of garters are quite active, but I don't know much about them.

I know that corns and many of the other ratsnakes are at least more active than BPs, but many of them will still spend a significant amount of time in their hide. Based on my experience with corns, it depends partly on the individual snake, and also they tend to hide more as babies but get more active & outgoing as they mature.

Kings & milks can be pretty active & outgoing too. In particular, I've heard a lot of people say this about Arizona Mtn kings, but that may have to do with me asking questions about this species because I want to own one someday, than it being more active than other kings.