Fraserdouble-

I have heard of guys using the hawk bullets, but I've never even held one so I can't comment from my experience.
You might want to give them a try, the jackets are supposed to be very very thin, also there is a Taipan bullet which Marrakai speaks of that would seem to have similarly thin jackets. These thinner jacket bullets might not be the answer for your hunting load though, as Marrakai notes that they come apart like bombs in such game as feral horse or donkey.

Also, beware of my 76 grain load. Of rifles I've seen chambered in this class of bottleneck, my rifle has the biggest powder room of any I've seen. The chambers are unique in that fashion, and the weight of my rifle is more than any other such chambered rifle I've seen too.

How much does your new rifle weigh?
What is the barrel length?
What is the chamber wall thickness, also width of breech face?

Good success to you in your load development.
I suspect you'll find good results with the Hornady/Varget combination.

Cheers
Tinker