The ones I have tend to be the hardest bloody things to get and the most expensive brass ....

I do not own thes but fit your criteria:

Firstly the .400 3" even if it is outside your range.

Then the .470, not my favourite, too run of the mill, but fits your criteria.

The .450 NE, yep. Like it better than the .470 and more versatile, but lesser availability.

The .450 No2 NE that I have has very expensive brass.