I had a similar issue with urgency and (sometimes) incontinence last summer due to minor lower-bladder damage from radiation the year before.

My main oncologist referred me to an oncology urologist, who agreed that it didn't make sense for me to be on Flomax when I had no trouble urinating (just the opposite). Instead, he switched me to Myrbetriq, which relaxes the detrusor muscle on top of the bladder and reduces the frequency and urgency of bathroom trips.

Another suggestion is to keep a urinal bottle by the side of the bed so that you don't have to run to the bathroom every time you wake up. I'd had to do that when I was in a wheelchair, so I had a couple left over.