[Perdition]

This is a really good idea, actually. In a way it's convenient too because having to plume out and run all the way to the arena or whatever nearest inn there is and run back is kind of dumb both from an OOC and IC standpoint (as was mentioned in the OP, it feels REALLY bad leaving to heal and coming back to watch your BDP vanish right in front of you). It also might encourage some RP in BDPs with people running into one another's camp sights.