Personally I would still go for a 9.3x74R. More versatile and will kill all the game you list well.

I use Woodleigh bullets in my doubles so can't comment on the "lead free" issue and availability of bullets in .30 calibre vs 9.3mm. However you will find good monometal banded bullets in 9.3mm and a 286 gr (or similar weight) will do everything you need. IMO.

The Chapuis sounds like a good choice too.