The bullet you state may not work, but just about everything else up to 355gr that I have tried work fine. I'd not say that is a very "limited selection".

I load mostly 270gr Gold Dots. And 300gr Speer Uni-Cor. They are bonded and kill deer/blackies with authority.

335gr shoot very well out of my gun also. I loaded 355gr for my bud's grizzly bear hunt. They hovered right around 1.1" groups.

And for the record, there is no such thing as "marginally stable" when it come to a bullet. It either is or it isn't.

If 355gr isn't enough bullet, then get a 1-20". But I like the quality of the older Marlins better......