Unfortunately there is no crawlspace, between my room and the ground floor, and no attic as there are vaulted ceilings with spray foam insulation.
FWIW my system is also in a room with cathedral ceiling. Yet I still have an attic in which I can run wires to 3 walls of that room. I can even get it into the 4th wall, at least on each end with a minimum of Sheetrock work. So all is not lost, IMO. As @builder3 has said, the electricians have more experience than I do in pulling wires. And after seeing the job, they may be able to do this somewhat easy. We are working blind here so I don't know without seeing a print. Get an electrician who has remodeling experience to take a look.