Use Wireguard and you can use your home PiHole setup anywhere.

On my pi-hole, I also host pi-vpn (Wireguard): https://www.pivpn.io/

You could host pihole on a free-tier AWS or other cloud provider instance and wouldn't need worry about startup latency of something like Workers or Lambda.

This is a good reason and exactly what I get out of using Tailscale.