This thread definitely has been done before. I remember because of all the exotic ways I figured Surfer could beat Doomsday, basically attacking the source of Doomsday's power. However, those arguing for Doomsday said that, by definition, Doomsday is immune to energy attacks.
So I'm unsure who would win this (also, which Doomsday are we talking about? I'd say Surfer could beat DoS DD, but likely not the more powerful versions).
and assuming he can be de-volved (it is possible), wouldn't that open dd up to previous harmful things he's "evolved" to counter/withstand? like if he was taken a couple steps back, his dna before he fought the radiant would be inefficient to fight the surfer.
granted the surfer would have to realize that evolution/adaptation is the source of his power, without CA someone like superman could drop the hint to him and that would be that. so it's kinda sketchy if left to his own devices.
but bfr is still an option and could happen with a simple anti-gravity burst.