I do like the idea of incorporating chess rules into something like a dungeon crawl, but yeah, a keyboard shortcut for ending a turn would go a long ways.
It also might help to have attack ranges drawn for enemies as well. I can understand if you'd want to keep it off to make it more chess-like: you have to KNOW what you're getting into, but maybe it could be a toggleable thing? In any case, I died in one of the stages and had absolutely no idea why. At very least, like someone else said, some attack animations would really help to clarify things.
But it is a really neat idea. It just needs a lot of quality-of-life changes.