Ohhhhh, I missed that part about total T being 280. Now your post makes a lot more sense. I was sitting here thinking, "what's the issue?"
Truthfully, hormone panel interpretation are (believe it or not) a bit outside my wheelhouse. It's my understanding, though, that there are lots of things at play here - and that total and free T levels might not be all that matters.
If I were you, I'd read up on T panel interpretation as much as possible (yes, even on Google) and look for patterns and common ideas in what you read, usually this is just about where reality lies. This will take time but I'd sure as hell put that time in before doing anything that would tinker with my hormones.
Next, I'd get a second, third, or fourth opinion and see which doctor's explanation makes the most sense based on what I'd learned. While doctors are experts, our understanding of the human body and all it's intricacies are changing all the time so I'd never take one individual doc's word on its own.
Also, I'd probably not do anything until working a doctor trained in functional medicine or a highly-regarded functional medicine practitioner who knows how to get to the root of WHY your T is low, rather than throwing TRT at is.
Does that all make sense?