If we assume events have unfolded such the legislatures in each state are the same, the legislature most likely stick with their own party in those states where they choose electors. (Pennsylvania was split because Federalists controlled the PA Senate and Republicans controlled the PA House)
Electors were chosen by popular vote (with varying degrees of enfranchisement) in 1800 in VA, NC, TN, KY, MD, and RI.
Rhode Island is close, so having Pinckney rather than Adams is enough to flip its 4 EVs to the Republicans.
Pickney does slightly better than Adams in the South and in slaveholding areas. Virginia is still going to be safely Republican, though by a margin closer to 25 than 50.
NC, TN, KY and MD each vote by district. Pinckney picks up 2 from NC and 1 each from KY and MD.
Altogether the number of electoral votes for each party stays the same: 73 for Burr and 65 for Pinckney.