I'm assuming you will have a loaner or rentale car. If so, you could check out Reynolds Village and Old Salem in Winston, or go a little further afield check out Chapel Hill or Saxaphaw ( about an hour from Greensboro) or even Blowing Rock ( about two hours). Both G'Boro and Winston have really nice baseball parks, right downtown. One or the other should have a game scheduled. If you don't have a car, I would recommend either the Proximity or O'Henry in Greensboro, or the Brookstown Inn in Winston and crank up your Uber App.
Since you mention Winston-Salem and High Point, then we are assuming you have a rental or loaner vehicle. Old Salem is pretty cool to walk around for a half day or so. (depending on how long you spend in the stores there). Sounds like there is really only gardens and parks and a museum or two in Greensboro. High Point is known for its furniture shops, so...if you are into that...there's that.
Have to admit, I am a bit curious as to why you have to wait 2 days for a car repair...and why Greensboro, seeing you are from West Palm Beach? Just wondering.