If you have a "well gassed" ar10, you're probably just a buffer change away from the gun running reliably. Granted, environment can and will play into this so your mileage may vary.
I don't think there's any real right answer to the original posters question other than to speak in generalities.
For what you intend to do with the rifle, I would personally want a more corked up can to maximize suppression. I'm not really worried about backpressure on a can that lives on a rifle that is not going to see a lot of rounds. Provided of course that the can isn't over driving bolt velocity to the point where the gun wont work. I really don't think you NEED a modern "flow through" can in order to get your gun to work.
IF you want to avoid having to monkey with the gun at all there are really only a few cans right now on the market that are going to get you where you want to be:
HuxwerkzFlow 762TI
Silencerco Velos LBP 7.62
Maybe some of the CGS offerings since they're over bored and they have vented end caps.
The Griffin Dual lok series of cans has something like a 5% increase in rate of fire which is pretty low in the backpressure department. They also have a great mount system, low flash and great tone.
Other than those cans, for the most part, the commercially available stuff is all traditional baffle designs.
It's up to you to prioritize weight, suppression, size. You've got a fairly generous budget so you can play a bit with your options.
Personally, id recommend a Silencerco Omega 300 DTM. Decent weight, decent suppression, awesome price and if you want it, a muzzle brake.