Almost all 92mm-fan based tower coolers are 125 mm high, exceeding the permissible hight somewhat.
The Inter-tech K-17 (potentially also called Dynatron K17) is the only tower-shaped HSF with 92mm fan that would fit.
Top-down blowers that are below 110 mm are aplenty - but they're often not ideal for case airflow. On the other hand, the 180mm fan is already blowing top-to-bottom onto the mainboard. If you remove that, you could install a more standard 92mm HSF probably, as the fan appears to be the vertically limiting structure.
Sadly, there are no 180mm radiators with all-in-one system, and I don't see any 180 to 140 adapters either, so your call that an AIO won't fit looks like it is accurate.
In the end I would probably go with the biggest top-down cooler that will allow you to still install the GPU -- but that depends more on the mainboard and socket placement, than the case.