So if your a citizen of the UK and your earning income online to your UK business what does concern does say Guatemala have on your money if your living there on a tourist visa. No money is being created locally. You going to start a new business in every port you land on? Do you pay taxes to the local government when you go on vacation?
There is a difference between a vacation or business trip and residence. Many countries will treat you as resident if you stay there for more than half of the tax year, regardless of whether you say it's a holiday. It's quite possible that some don't, but you'd better know for sure.
The optimal solution in that case is to have your UK company earn the money and pay you a stipend on which you pay local taxes if UK taxes for corporations are more favorable than in the place where you live.
But really, you should consult an accountant or tax advisor for hard information after you have decided on a country to go to and for how long you intend to be there.
As a rule, < 3 months -> no problem, > 6 months = residence, in between, gray area, leaning towards 'extended holiday'.
