I don't see what is wrong with the "Rome" style maps.
Mainly its basically impossible to retreat. Nearly every time you just get chased & forced to fight to the last man anyway.
The old style let you strategically give ground. Also it allowed allied forces to be actually useful & I liked the relative simplicity, it can be a big drag trying to keep track of everything in the Rome style.

I really think the Rome style should be used at a new 2nd level of the strategic map. Just used in a province where you have opposing armies, with several sub-turns or even several mins of real-time per strategy map turn. That would give best of both worlds.