LRP is not a great place for first timer due to its narrow groove and its relative distance to the wall. I would pick Thunderbolt over LRP anyday, but I thought Thunderbolt is rather boring. Here is a lap from Thunderbolt
0908 NJMP Thunderbolt C6 Corvette Redline TT Day 1 - YouTube
One from LRP
Lime Rock Park LRP 370z downpour time trial run - YouTube
Also remember there is basically one passing zone at LRP, 2 or 3 at Thunderbolt. There is nothing worse than getting stuck behind a Miata
(I have never tried Lighning, so can't comment on that)