I'd definitely take a guy in the first, including moving up, if they think he's the goods. The one thing the last 6+ years have shown is that it doesn't matter how good the other 52 guys are if your QB sucks, so I'd rather err on the side of swinging too often than standing pat and crossing our fingers on Petty. The one move I would not be in favor of is bringing in a vet, either by trade or FA, but that's mostly because any of the vets who'll be available are crap, in my opinion.
I think Idzik's biggest mistake was not going after Bridgewater or Carr in 2014, even though Geno had done absolutely nothing to make anyone think he was the guy long-term; I think this would be a similar mistake. The track record for QBs taken where Petty was taken is abysmal, so regardless of how they feel about Petty, if they get a shot at another guy, I think they absolutely have to take it.