K712 Pro have significantly more bass than Q701 I've heard... Not a bit, very significantly more.
Therefore I must recommend you the HD800, or T1s... These have more bass than Q701 but not a lot more - just enough to become neutral enough in bass region.
The way you describe the low-end of the K712, I wonder if my pair is broken haha. I find the balance top to bottom fairly consistent in the K712. The K712 does have more bass than the K/Q701, but the increase to me is welcome and gets me closer to the tonal balance I have wanted out of AKG for years.