www.tirerack.com
If you check tires by size and then choose a tire and look at the specs you will get a good idea of overall diameter.
I am looking at a similar set up and the 285/35/22 is listed as (30.1")
I am looking at 255/45/20 (29.1") so I imagine your choice would be closer to a 28.5" tire
Not a ton of info with pictures showing static dropped 20/22 trucks. I want to go just low enough to tuck tire. (4.5/5 -7" drop I imagine)