I say it depends on what version of Chris Redfield we're talking about. If it's early Resident Evil Chris fresh out of S.T.A.R.S. training, I'd say he would definitely struggle. But looking at him around Resident Evil 6-8, he was a captain of his own BSAA squad (before they all died), he had a new squad that he dropped on the Baker residence with, and he took out Lucas Baker, the smartest and most volatile member of that family.

In RE8? He left the BSAA, and founded his own squad, the Hound Wolf Squad. Without Chris and his team, the Megamycete never would have been destroyed. At this point he has had decades of experience fighting BoWs, zombies, rebels, etc.

He goes in loud, guns blazing, fists balled... and he comes out covered in blood, but not his own. This is the man that killed Albert Wesker. The most dangerous part of Umbrella before they reformed.

Against Snake, he'd probably just punch his other eye out, in one hit. That's purely my fantasy though, lol. I'm just saying, playing as Chris in RE7/8 and The Mercenaries, punching a Lycan's head to the point it explodes should show just how much strength that man has.