In order to easily watch region-restricted content, I want to put all entertainment devices in my house on a separate wifi router, and run all traffic through a chosen tailscale exit node.
I'm not, but you could use vanilla Wireguard either directly to the exit node, or to another device (a little Pi or something) running Tailscale as a ..relay node I think they call it.
Thanks, that's a nice trick for watching from a computer... i have dumb / closed devices, and devices belonging to kids that I don't want to touch. Hence the whole separate-wifi-AP thing.
Sorry, I glossed over it, but not just from a computer - many more routers have Wireguard support than Tailscale (if any do at all, I don't know).
So you could do exactly as you planned, just with the router -> exit node (or router -> some Tailscale relay as an extra step to provide that interface) as plain Wireguard.
In order to easily watch region-restricted content, I want to put all entertainment devices in my house on a separate wifi router, and run all traffic through a chosen tailscale exit node.