We originally thought of having a map, but decided against including it in the base game. Currently there is one, but it's only for debug mode and not meant for actual gameplay.
Permanent transformations are something we don't plan on, but maybe for very few exceptions.
The bottom room has a 50/50 chance of being a boss, or a horde room, but we may have other boss changes in the future.
As for surrendering, that's already accomplished via not struggling.
A box trap does sound interesting...