No I havent really played any of those LOTR strategy games.
Games that I played a lot and enjoyed which are from RTS genre are,
Age of Mythology (classic, no titan crap),
Age of Empires 3 (amazing in LAN parties),
Command & Conquer Generals,
World in Conflict.
None of them had battalions, but also none of them had an option to have so many units as you can in 0ad, so I did not want to suggest any conversion to squad based game even if it suits very well in something like Total War series, but those are half TBS half RTS.
For me that battalionish support of @Freagarach is featureful enough, as it adds a lot of convenience, which becomes necessary when there's a lot of units.
Total War series has simulation element in those battles where formations and positioning and maybe waiting instead of charging or just walking instead of running, with polearms actually working based on impact of cavalry charge and whether it was light or heavy lancers, swiping infinfantry even if its polearmed. In Total War sense it fits but in fully RTS game hard battalions does not fit that well.