can I do a run with the holiday version on and have it verified if the don't touch any of the holiday things?

Ye but I strongly suggest to play on a non-holiday version.

I can't because it lags my game if I try to use wayback machine to get another version

lol never tried to use wayback machine for that at all try changing the time of the PC while you get in the game

my browser doesn't like when I do that

The steps I use are: Open cookie clicker on browser THEN change time Press wipe save

doesn't work still