I do agree with all of the people above that it can be done. Just make sure you do everything legally in Belize and check into the laws.
I HAVE BEEN HERE 5 MONTHS AND THE POWER HAS GONE DOWN ONCE FOR 2 MINUTES, IT CAME BACK ON BEFORE I COULD EVEN LIGHT MY CANDLES.
MY CABLEM MODEM HAS NEVER, EVER GONE DOWN. I HAVE FASTER INTERNET THAN I DID WITH WHO I HAD CABLE SERVICE FROM IN THE STATES. I THINK DSL GOES DOWN MORE THAN CABLE, MY NEIGHBOR HAS IT.
It sounds like you might have more down time in Colorado than here.
Have you been here? If you have and love it here, GO FOR IT. Best of luck, follow your dreams.