What about P2 doing
T1: Tfair Lurker
T2: Lurker 1 HG for Duchy, Tfair Lurker + Donate, keeping 2 Estates and the Duchy.
T3: Lurker Lurker for KC
T4: Lurker KC Lurker for 4 Duchies. Shuffle luck is only 50/50, so not too bad.
They now have 5 Duchies, 2 Estates for 17 points, and if P1 trashed all their Estates, there's only 3 Duchies and 8 Estates left which is also 17 points. So P1 doesn't have enough points to win without being able to get a Province, and if they wait too long P2 can just 3 pile.
If P1 keeps an Estate when Donating T2, then P2 can keep 3 Estates instead. Odds of combo success go down for both, but if P2 misses on T4 but still gets KC/Lurker or Lurker/Lurker, they can grab another KC and increase their odds of winning next turn if P1 misses the combo T5.
And if P1 keeps 2 Estates, then P2 can just trash completely and gamble that P1 misses the combo.