Let me add some reality to the fantasy here, your identity and memories come from a lifetime of your brain recording input. Even if you had the power to heal a scramble brain it would missing all the recorded data and the neural pathways would be gone. You would have the brain of an infant. Now add rocks to that and you have Hodor's less intelligent cousin.
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You do realize deadpool barely uses his brain to think? He just attacks anything he sees as "fun to kill"
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No let's not add reality because comics are fantasy. They are a fantasy world and thus go by fantasy rules. Therefore he can fully heal and would win easily. Game over.
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Ok say he has a full copy of his brain in every cell of his body. Brain still reforms around rocks and he is still a drooling fool.
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He has ripped is own head part to get a bullet that was in his brain out, because it itched. He also has super strength so good luck with that rope.
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No like I said before the body heals like the body should. Any alien aspects would be removed prior to healing.