I think it would be ideal to reschedule this game the day after the LPT game on Tuesday 4/28. You'd have a mini-series of back-to-back games on the 28th and 29th, one at each place.
Both schools play Sunday games on the 26th. Louisville plays its next game on Saturday 5/2 (@ Clemson), and LPT plays theirs on 5/1 (@Vandy). Now make the 28th game at Louisville, and the 29th game at LPT. Each school would have the same amount of time at home afterward before they travel to the next game.
And it would showcase baseball during Derby week. I know of no Derby plans to use Patterson Stadium on the 28th or the 29th...