I think this has a lot of potential!
Along with some sound effects, I think a good idea to expand this concept would be a "turn limit", which would reduce the brute-force method for solving puzzles, and allow for a simple rating or par system to reward players who think before acting.
Discerning the optimal order for turns could be quite difficult if denser, hazard-rich rooms were designed, but of course, I understand these are longer-term goals. Adding optional collectables that must be fit within the limited number of turns would allow players to give themselves optional goals to further the difficulty for extra reward.
Really great concept and I'd love to see this developed further!