I've seen the shangri-la 2 - I own a shangri-3. While you can't officially put up a shangri-la 3 with a trekking pole, You can manage it very well with about 12 to 18 inch "pole extender" - which amounts to a cut piece of old-school aluminum tent pole that you stick onto the end of your trekking pole. If you
want something a bit bigger than the 2, you could try the 3 and set it up this way.

Lots of other floorless options out there though too, depending on what you want to spend. you can try zpacks if you have a relatively high budget Six moon designs lunar duo might
also suit you.

If you're not set on setting up with trekking poles, look at the tarptent scarp2, I can reccomend it from experience for doing well with two big guys in heavy weather.