I think you can go to COINSA to cash US checks, but I am not totally sure.
the best is to go to your US bank and set up SWIFT transfers to a Honduran US$ bank account. Or set that service so that you can do those SWIFT transfers yourself periodically.There is a fee however, charged by both banks.
My advice is to deposit US checks on the Honduran Bank account. First time it will take time but then it will be periodical , like a paycheck. No fee for that.