I have stayed several times at Tigress ii - Laneway just before Chicken Lavish. I know there are Fridges in the rooms for sure and probably access to a communal stove, although I am too laid back to cook when in Negril! Check out their Website - www.realnegril.com/tigress2/ - Ian is a Great young guy (compared to us boomers !) running the family business and its a real nice spot just off the lighthouse road but close to lots of Restaurants & bars.