I just won a conquest victory on challenging difficulty level. I had a few thoughts and bug reports.
1) The plus symbol ( + ) in the UI often look like a minus symbol ( - ), because the vertical line in the plus symbol is very faint.
2) My starting champion became god-like around level 20. I didn't need any other units to win.
3) During tactical battles, there is a list of spells and other special abilities in the lower left of the screen. When an enemy casts fear, this UI will disappear. When this first happened I didn't know how to end my turn, as I couldn't cast a spell or press the "pass" button, but I eventually used a keyboard hot-key to end my turn. The missing portion of the UI was visible again on subsequent turns.
4) I was playing with auto-turn enabled. Towards the end of the game the auto-turn stopped working. I think there may have been something requiring my attention, like a unit with unused moves, but I never could figure out why auto-turn wasn't working.
5) Beta 5 plays and looks better then previous versions. Thanks for the improvements.