Which resort ?
At CSA, they always have a football game on in season at the sports bar. Also, the only rooms at CSA that do not have A TV are the Atrium Suites and the Beachfront Suites, all others have a TV. At the other Couples Resorts, all rooms have a TV.
If you have a room with a tv you can watch whatever the "local" game ie whatever cbs and fox are airing that day for whatever "region" they consider jamaica...and of course sunday night and monday night games will be on. The stations usually decide the week of which games will be on.
I do remember seeing somewhere in Negril a sportsbar that advertised they have the NFL package ...meaning directv package and can show all games. If noone here gives a location for this i suggest you post to negril dot com message boards. Many of their member are locals.
Last week at CSA we were able to watch the Sunday Night game . . . on ABC? The Monday night game on ESPN2 which carried it. And the Sunday afternoon games were on the local Miami channels. Thursday night's game on NFL was not available in the rooms or at the sports complex. HTH