I would advice you to put it in one question. You should tag it as proof-verfication and as alternative-proof, along with other tags regarding the field of the question.
If you will have two questions, then the question about another proof will have to show some attempts. If you post the same proof again, then people will do double work, namely then they will give feedback on your own proof on both questions. If you don't include the proof in both questions, people might do double work by providing the proof you already know.
So basically there will be two questions, one with the sentence "Is this proof correct?", the other with "Are there other proofs?". I would maybe go as far as saying they are duplicates if they come form the same user.
Also, it is not uncommon for other users to provide other proofs even if you won't ask for it.