The old tried and true canvas wall tent, it's nostalgic. It's the stereotypical icon of elk hunting and advertisers in glossy magazines.
It's also heavy and really not that water tight, prone to mildew and in most cases requires some hefty frame work or ridge pole. Factor that into your set up time.
You put a stove in anything and you'll stay warmer than not. There's lighter weight, better materials now days.
The one thing I don't like about many tipis is the lack of a floor.
I'm using the double lined M1950 army tent. It's the same build as the old Korean tents, but the newest ones are now made with a much lighter weigh poly blend material than the old cotton canvas tents. With the stove I'm coming in at 35 lbs, sleeps 4 guys comfortably and will fit in one pannier (tent and stove).
My father in law uses the Cabelas Outback Lodge with a sewn in flue pipe hole. It's a good option too. Even lighter and more compact than my army tent, but is one layer and cools off faster when the heater is shut off.
Both are heavier than the super lightweight floorless tipis built for backpackers. I looked but steered away from them cause as you know at 10,000ft in WY it can turn nasty and I wanted something a little tougher. I also use it in November for muzzy elk, very warm.
If all I was hunting was early season august/sept, I'd probably be using the a silnyl tipi with a titanium fold up stove.
I'm curious on what you decide on. From what I can tell, you hunt in similar areas/conditions as I do. Let us know what chose and how it works out.