Had this same situation with a kid some time ago. I said "pick"... can't do high level of both sports. She did... she is off to college on a full ride swimming scholarship next year. Picking is not a bad thing.
I gotta say... as a parent I understand a bit about different activities... maybe try to fit a recreational activity in with competitive gym... that's good.
As a coach... I'm sick of competing with...
- dance
- tennis
- sailing
- lego robotics club
- downhill ski club
- water ski team
- rock climbing
- etc... etc.
I'm going to tell you what you need to hear at this point... then I'm just going to run the team as it needs to be run. If I need to change workout because I have a staffing issue or what not... I'm not considering lego robotics club.
What if you showed up for practice and there was a sign that said... "Please workout on your own on Tuesdays as I am out sailing... and Thursdays too... tennis on Thursdays."