I can almost guarantee that the Dr. Will not prescribe TRT. Your numbers are actually pretty good. Going with that, I also would not go on TRT unless it is necessary. I bet you have something else going on. I would probably start by checking the thyroid.
I have found that the method of application also makes a difference in recommending or not. I had a consistant 170 total test ( i think the min was 325) and my gp gave me a prescription for the creme application. I did not want that because it can actually be transferred. When we got to the injection, now things changed. This was a class 3 narcotic and now I needed to see an endo. Just turned 50 two days prior and the min level dropped on free test. I hit the low value and was rejected for TRT. Endo said it wasn't worth the risk ( he obviously does not know how the symptoms feel). Offered no resolution and sent me on my way. Now my gp basically said he will not overide an endo. He will do bloodwork after bloodwork until I get tired.