Game managers used to make the Pro Bowl all the time with stats like that. Kerry Collins got in in 2008 ranking 23rd in QB rating, 24th in yards, 26th in completion percentage and touchdowns.
Absolutely crazy Bridgewater got in with numbers like that.
Nothing will surprise me. A lot of teams might be gun shy about him without having the ability to have their own medical team examine him. But, it only takes one. What if Belichick ended up with him at #23? Yikes.