After reading up on this, I'm starting to agree with AQ_OC: it's Safari not playing well with some/certain web sites.
I don't normally have problems with crashing on my iPad Air - but, then again, I don't do a lot of Safari browsing, either. I use apps more and Safari, for me, is just a quick way to Google an answer to a question.
But, I was over on the Apple support site and there a LOT of threads of people with this issue. Some posters there listed some site links. When I went to some of those sites on my iPad Air, Safari crashed.
So, I'm thinking that iOS 7 Safari has a coding issue with the way it renders certain web sites. And, given the many millions of web sites out there, I'm thinking it's not going to be an easy fix.
My suggestion is to keep sending bug reports to Apple (although I'm sure they are aware of the issue by now). I'm sure if they get enough crash reports, they"ll be able to find and fix the problem.
TBH, I don't think a restore to factory settings will help (or swapping your iPad for a new one at the Apple Store) - cause you're just going to end up with iOS 7 Safari on it again. And, using another browser won't help as the developers have to use the same coding Apple uses to run Safari.
In other words, this post is nothing more than speculation and a "hang in there" encouragement. I'm sorry to hear of the issue(s). All I can offer is my hopes it gets resolved.
Marilyn