[Eomer of the Rohirrim]

Ugluk is not intelligent enough.

Theoden is not agile enough.

Gimli has the height disadvantage.

I think it definitely comes down to Eomer or Faramir. I remember Eomer making a mistake in the battle of Helms Deep (he was saved by Gimli).

However, it would be harsh to stack this against Eomer because Faramir was never really given an opportunity to make a mistake in the books (if you see what I mean)

Unfortunately (?) the two Men are fast friends now so, unless Faramir starts treating Eowyn badly, I doubt we'll find out who the better fighter is!