Many DR banks allow you to view and "manage" accounts online, if by manage you mean view the account activity. If her caregiver needs to access the accounts here in the DR, set her up as being able to access the account. I believe that is possible. I have not used DR banks to pay accounts in the DR using on-line methods, but other people do that.
(FYI, None of them allow you to transfer money without a fee from the US to the DR or vice-versa. Any bank in the DR, no matter it's name operates under separate rules and regulations from banks in other countries. )