I like Jax08’s idea re: games you can play at home while recovering. I don’t know how much you are spending on the board and train, but could you use the $$ to pay a trainer and dog walker/yard cleaner to come to your home? Like have the trainer come for an hour 2x a week to work with you, focusing on stuff you can do at home while you recover?
If you’ll just be in too much pain/too immobile to handle the pup at all, then maybe send for a week and then do the at home games and pay a trainer and walker/cleaner upper to come in? At 14 weeks, 2 weeks will feel to the pup like he has a new home now.
Of course you’ve probably thought about all this already, and your plan is the best that works for you. For 2 weeks board and train, I agree with focusing on recall, and I’d add Sit and Leave It, so you can use them from the couch when pup comes home. Given your situation, I would prioritize those; worry about loose leash walking and other obedience later, unless pup learns those 3 really fast and gets bored. But have the trainer focus on those. My pup learned Leave It at 13 weeks, and it was super useful as he was so curious and getting into everything as a puppy!