I can't think of much you could do other than maybe something through TOR, but that comes with its own set of issues.

Your idea of running through a residential node is probably the best solution, I would suggest getting a couple of cheap routers that are compatible with DD-WRT then leave one at home or with a friend and travel with the other. That way you can connect your devices through wifi with no extra setup. I have a router that I setup with HMA VPN about 5 years ago and it seems to get past most geoblocking schemes but I think that may be because the IP pool they put me in has not gotten burned yet or Im in a pool specifically assigned to legacy rather than new customers.