I did... but the answer was pretty unsatisfying. It was around 2-3 months on HRT for me too.
I got the full workup, including a test for UTI, and everything came back healthy; the doctor's best guess was that it was basically semen leaking out instead of being propelled out at ejaculation (because I'd stopped ejaculating at orgasm). Whatever it was, it went away after a couple more (icky) weeks, at least.