We camp extensively in the NWA area. Times to the exit for Razorback Road (towing...your truck will make better time) from various local campgrounds we stay at:
Devil's Den SP 30 minutes give or take. DD is a great area, especially campground "E". It has full hookups. Make reservations early, however.
Lake Fort Smith SP 45 minutes up old Highway 71. Our favorite spot, very new, and has full hookups in 20 sites, water and 30 amp in 10 more. Dump station available.
Withrow Springs SP (Huntsville) 45 minutes via Hwy 412 and SH 45. You will have to drive thru town to get to the stadium. Nice campground, as are almost all Arkansas State Park venues. Full hookups at all sites. Also very new, the old sites were washed away in a flood a few years ago.
Horseshoe Bend 45 minutes via I49 and old Highway 71 into Rogers. It is a Corp of Engineers park, cheaper than the State Parks. Good campground. A few sites have water, none have sewer, though there is a dump station.
Hickory Creek 30 minutes via I49. Electricity only. Also a Corps of Engineers park.
OK. Devils Den, LFS and Withrow have limited Cell coverage. Streaming a game will be iffy. LFS does have good cell coverage if you are on AT&T. HB and HC are good to go as far as cell coverage.
Edit: Be prepared to navigate narrow roads and steep hills to get to these great spots.