Thanks for all the valuable input!
It sounds like my initial plan to use spray foam on the bottom of the space should be fine, exposure to the outdoors and all. I appreciate the suggestion to use foam board and create an air seal by spraying foam round the edges, but I'm worried about moisture getting between the foam board and the floor. I live in the South, and it's like a rainforest here from April to November. And per the Green Building Advisor article linked above, there's this:
Wood framing expands and contracts with changing humidity levels, raising the possibility that attempts to seal the perimeter of the rigid foam (whether with caulk, spray foam, or tape) will fail over time. Anecdotal evidence suggest that this danger is real, especially for cut-and-cobble cathedral ceilings.So I'm a little hesitant to go that route. I'll probably purchase a DIY spray foam kit (closed cell) and use it under the space and inside the space on the ceiling.
As for other concerns posted re: AC and running a duct... I've thought about every option. Window units are too noisy for a music studio. Ditto for portable AC units. This thing might work, but it seems kinda dinky:
https://climateright.com/climateright-5000-btu-a-c-heater-2.htmlI could run a duct from the supply plenum and out the foundation wall. My air handler and ductwork are in the adjacent crawlspace. This would be a straight duct run with only one 90 degree bend where it curves upward to connect to a boot that's installed in the floor. Yes, part of the run would be outdoors. That's why I'd build a protective chase around it.
SweatingInAZ rightly commented that my HVAC system would suck in air from the outdoors to make up for the air being pushed into the studio. Jumper ducts/transfer grilles are a no-go because this is a music studio and I want to minimize noise leakage from there to the living space.
The good news: I've already got a fresh air damper that supplies my home with small amounts of filtered outdoor air when my HVAC system runs. The additional required makeup air, in theory, will be provided via this damper (so, filtered air) and not via undesirable infiltration. Right? The environment inside the studio will be all positive pressure. Yes, I'll lose conditioned air this way, rendering all of my HVAC less efficient. But it's a really small space and I don't anticipate it making an enormous difference in my energy usage.
My HVAC system is already oversized due to energy upgrades I've performed in this home. If anything, adding supply air to another room will allow my heat pump to actually use that extra tonnage for something.