You have the great advantages of youth, presumably good trainers, and being strong and a good athlete to begin with. Best of luck.
Heed the advice to show the doctors and trainers some videos. The backhand throw, in particular, is probably different than any motion they're expecting, unless you bat opposite the way you throw. They may imagine a gentle Frisbee toss on the beach.
This brings back memories. I got the OK and started throwing 10'. A week later, 15'. It felt sooooo good just to be throwing something after a long layoff. I remember being terribly happy when I reached 50', where the throws had a little bit of snap to them. Small pleasures.