Even though the Eno wasn't hit too hard, it'll have a good stain for a few days. The Flat got hit a little harder, so anything downstream of the Flat confluence is going to have even more stain, borderline muddy. Granted I don't fish the Eno or Flat that often, I still wouldn't expect "clear" (24" visibility or greater) conditions for at least ~5-6 days of no rain from today. Hopefully someone who's closer to that area could give you a first hand assessment.
In the late Summer for Fall, these Piedmont flows clear up much quicker. In the Spring it takes at least twice as long to clear up.
All else equal, I'd try for some reds if those are your only two choices.