I might go with Angel. His healing factor lets him take more punishment than usual, plus the current Hawkgirl is having trouble with the whole past-life thing. She went through a mid-life reincarnation, and it's kind of thrown her for a loop, so she doesn't have as much access to her hundreds of years of fighting and flying experience.
I think it would be quite the awesome match actually.
Hawkgirl's ferocity and intensity are enough to stand up to Archangel, while Angel's flying expertise is probably better than hers in my opinion. And yea, the healing factor will definitely work in his favor. And his sword will definitely stand up to her Battle Mace.
Like I said, I think it would be a great match. But...I think I'd have to give it to Archangel in this match. He's just a little better where it counts.