Your 70-200 f2.8 will be plenty for sideline shooting, unless you are unlucky enough to hit field with bad lighting. And you can always bump up your iso.
I bring my monopod all the time when shooting sports that way. Some shooters insist on them, some hate them. It's a matter of preference. I'd bring it, and try shooting with and without it. If you really know football and really know the ins and outs of the team you're shooting, you can anticpate moments well enough so the monopod isn't an impediment. If not, it's a lot easier to get rid of that stiff pole and track the action without it. And image stablization isn't as big a deal when you're moving to track action.
I'd also bring the flash. Overhead lights may be strong enough, generally, but if you use the flash, synch to 1/250 at Av or simply use it as a bump fill, you kill those shadows that turn the face of a football player behind the facemask into a black mass. Experiment with the flash. At just the right setting, it'll kill the shadows but not make the images flat and garish.
Good luck.