Here is an idea based on something I heard on Twitter.
Let's make it so I can get hormone therapy after an over-the-counter blood test and a one-week waiting period. In exchange, let's make it so that in order to have a gun, you have to see a therapist for several months and talk over why exactly you want one. Before waiting up to a year to see a government-licensed gunsmith, and being prescribed a small-calibre firearm and a limited supply of ammo for target shooting.
A few months later, if no one's been injured, they may prescribe you a slightly larger-calibre device.
Your ammunition purchases go into your medical record, and naturally you have to pay for all of this yourself, even if you have insurance or medicare.