Yeah, no trasher needed. NV-Bridge is self-sufficient.
Yep, give NV/Bridge (only) a try, if you haven't ever before. It really doesn't take anything else, and it's a remarkably quick megaturn deck. Turn 12 all-Province piledrives aren't uncommon with it, and even worst-case it'll still be ready to buy 8 VP cards by turn 15-16.
Edit: it is hard to speed up, as well. With Throne Room I've done a turn 11 piledrive once or twice, but you also have a slightly better chance of slowing the deck down, too (e.g. by playing too many TR + NV's, rather than TR + Bridges). Workshop in the mix can net more total VP, but doesn't actually speed up the megaturn at all.