If you don't have any resources to fight the legal claims you should not do it. You won't last very long because you can be sure that there will be some legal claims, valid or not. Even a frivolous claim will take resources to defend.

Whatever you decide, do NOT run this under your own name. Create an LLC or similar. Do not risk your home and personal assets over a side project. It's better to lose the LLC which should only hold this service than to lose your own personal assets.

- Do not run it in the US.

- Do not sell the service in the country you run it.

- Really, do not run it in the US.

What are good, non-US cloud providers? I only know of AWS/DO/Azure/Google - what are the go-to providers outside the states?

Hetzner or OVH in Europe.

Then you don't have the resources to run the business.

The technical side is pretty cheap compared to the legal manpower you need to protect your end users.