Can you work remotely for the US while on a tourist visa in Belize

My husband and I are in our 50's and we both work remotely from home.  We want to pre-retire to Belize and still do our work for our employers in the US.   Is this allowed?  We were thinking that that a tourist entry permit, renewed monthly might accommodate this plan.  Please let me know any thoughts.  Thank you.

That's what I've been doing no matter where I travel. Immigration gets involved when you are working for a business in their country. Apparently many people work virtually here.

You have a perfect situation.  for the first 6 months you are here, you will pay $50 Belize dolllars, and after that it is only $100 Belize dollars.   You will be welcome here.  If you wish you can apply for permanent residency and even eventually even citizenship is possible.   I believe you will be paying US taxes on your income.  I do not know about the health care payment options.