WEYTWUT alone doesn't help.
It's not as good, but it works fairly well. You can easily sequester monsters for later consumption, and if you think ahead on where to place them you can set things up so that when you do kill them Rexx will appear in non-threatening locations. You will end up over-exploring, but it's a lot better than nothing.
Maybe I'll do a video of Labyrinth with a JJ prep to demo this... if I can get a nice video capture setup working.