My trach also did not close. Getting soap and water from the shower was really the edge for me. I had mine stitched closed after three months as it would not heal itself. I also worried about the mucus but that was because of the trach. However my swallowing was pretty good at that point.
I would see what your doctor or oncologist says as each case is unique. Speech therapist probably shouldn’t make that call.
Give this post a few days as others might have opinions as well. I hope it all works out eventually.