You are what is known as between a rock and a hard place.
US banks won't loan you money because thier collateral (your house ) is in another country and they have no recourse if you default.
Belize banks won't loan you money because your income isn't based here so they usually won't risk it either.Sometimes they will but it depends on the value of the property and how much equity you have in the place, but usually it's a tough nut to crack. (banks don't like to lose)
The only option I belive that you will have is an unsecured revolving credit loan. ( i.e Visa or Mastercard with a high limit and high interest rate.) or a personal loan from friends, family, or a private lender.
My equity is 100% of my Belize home, and I would only need less then 10% of its value for the remodel.
3 years ago, we used our credit card for our first remodel, just didn't know if there had been any new financing changes of late.
Thanks,
DC