It's sounds like pelvic floor dysfunction...get assessed by a pelvic floor pt if you can because sounds like nerve and muscle involved...pain doctor will probably give you a neuromodulator like gabapentin and or Amitryptiline to calm the nerves and pain/burning signals..
remember a lot of regular doctors don't think outside the box that's why the pelvic floor therapists help... my pelvic floor therapist takes care of quite a few men with these issues
I would see a pelvic floor PT as well - here is a link that might help you: pudendalhope.info/ there is a link on the left that you can follow - good luck!
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