I like Daryl's last suggestion.

I'd go for the 9.3x74R.

Tho it's a double and regulation limits the options to a degree, I like the vast diversity of bullet choices in 286 grain weight along with the superior sectional density of those bullets over the standard .405 300 weight.

It's funny, the more I look at the 9.3x74R, the more I like it, and the more I look at the .405, the less I like it. The latter was an OK cobble job for the Winchester 95, and made a lot of sense at the time as an updated .40-72, but the 9.3x74R has stood the test of time...for a reason, it is a great cartridge.