Having started out on Axiron myself, I can tell you that it is extremely messy, hard to apply correctly with that applicator they give you, runs down your arm and side, and takes forever to dry. I can't say if it works or not because I couldn't stand to use it more than two weeks. I went back to Doc with those reasons and got Androgel 1.62 instead. If you are stuck with gels; I can tell you that Androgel is much better to use on a daily basis. How well gels work for you will be something only your blood test will reveal.
I go to an Endocrinologist myself, and if they see total test numbers in the 500-600 range they will be happy. My Endo (who is also a "she") recently told me to cut back injections from every 6 days to every 7 days because my total test came back at 617. My estradiol was 39.9, but if it is in the normal range then she is happy.
I get a lab order for my blood test, take it to my primary care doc for the blood draw, and have the nurse check the E2 box because I want it checked. Shouldn't be a problem and you aren't breaking their rules. I personally know multiple guys on Androgel and Axiron for years without a estrogen blood check because local urologist (and my primary doc and endo) just don't check that. You shouldn't have a problem getting it checked if you ask.
Oh Yeah, if you do get injections from your Endo, expect to start at a really low dose (like 100mg/2 weeks) and spend 6 months working your way up to a dose that works. It sucks, but in the end it is cost effective if you have insurance paying for it. If you are paying out of pocket I would call IMT for sure.