On West End Road, there are some cottages across from Le Mirage that some friends stayed in earlier this year they said were reasonable for their 6-month stay. Is about midway between Negril Escape and Catcha Falling Star. Has huge grounds behind a stone wall. Their cottage was huge with 2 bedrooms, but there are smaller ones too.
The lady who manages Le Mirage hotel also manages those cottages - you could contact her thru the hotel website.