A couple more suggestions, both on Norman Manley but very close to downtown

Negril Yoga Centre - have kitchen units, great gated yard with security and very reasonable prices.
www.negrilyoga.com

Ansells Thatchwalk - have kitchen units, veranda with sea view, etc. www.ansellsthatchwalk.com

One other suggestion - take mosquito net with you - I bought a couple on ebay last year for under $8.00 each, lightweight and do not take up much room in luggage, and make a great gift to JA friends at end of your stay.