prbullet offers the heaviest .40cal bullets available, 240 and 260gr. I would certainly try the 260gr in that rifle as it was originally designed for the higher rpm of the Savage. Start low and work up.
I've got a supply of the ligher Dead Center weights, I could send you a few of each if you want to try them instead of paying quite a bit straight from prbullet just to try them. I've got some 240s too but I want to test those one more time myself before I let them all go
I've got a ton of 250gr QTs too. Another good, cheaper option if maxiumum ballistic coefficient is not your primary concern.
Sadly, no one yet offers a jacketed .40cal bullet heavier than the 200SW. I am considering the modest purchase of software to design one based on some ideas I have, but it looks like it would cost me around $5,000 for basic swaging gear to make one (yes I checked into this!). Unless I was convinced of significant demand it'll remain a pipe dream for awhile.