APS-H would be fine under some conditions:
The mount supports EF-s lenses (it's possible a less-than-full-frame mirror could fit here).
The software supports shooting in 1.6-crop mode for both EF-s lenses and EF lenses.
The pixel density is the same or higher than the 70D (the 70D can't have a reach advantage).
The viewfinder has some markings or overlay or something for 1.6-crop.
The camera remains under $2k.
By the way: (1.6/1.25)^2 * 22MP = 36MP.