I get the same thing as the OP. In earlier versions of SKSE it was fine, and I had the same amount of mods. Now, though, it takes a few minutes to pop up the little box in the corner and begin loading the game. I don't use an ENB.
In regards to saves, I start new sessions with only one save in there. The normal one and the skse file. When I can't be bothered playing anymore, or my game crashes, or locks up (whichever comes first), I move the accumulated saves to another folder (then eventually to an external hard drive), and always make a new save, never overwriting. I don't think it's anything to do with saves, though.
Somewhere along the line something changed with SKSE - maybe as there are more updates and the program gets better, does more, whatever, it just takes longer to load. Dunno, just guessing.
But, yes, I have the same problem.