Stack sizes matter tremendously here. Even so, I wouldn't advise 3bet-folding. If you think his range is really strong, which seems reasonable here, then just play it mostly as a set mine, meaning that you'll generally just fold the flop if you miss. Even if you get a slightly move favorable T72 or something I'd still fold to this flop action. If he checks flop of makes a small bet, maybe that will give you new information that you could be good after all. There are other ways to get info besides 3betting. It really sucks to fold to set yourself up to fold to a 4bet, for two reasons:

1. It could be AK. You may end up folding the best hand postflop anyway, but then again he might check, and even if he doesn't, it'll cost you less than 3b-folding.

2. If it's QQ+, you'd REALLY like to see the flop, because making a set will be really profitable. Instead of giving yourself this profitable opportunity, you cost yourself a lot of chips without getting to see the flop if you 3b. 

Even ignoring Villain's passivity, I'm not necessarily a fan of 3betting JJ against an UTG raise because of (2). 

When you have a hand like Jacks, you have to make a choice about what kind of value you want to get. You can try to play it for its showdown value unimproved, meaning you will usually 3bet in order to win immediately or get it heads up, or you can try to play it mostly for set value, which means seeing the flop as cheaply as possible. This reduces the likelihood that you'll win the pot, but it also minimizes your risk and sets you up to occasionally put money in the pot as a really big favorite, something you'll rarely do if you play it the other way. The choice of which line to pursue is extremely contextual, but against a strong range, you should choose the latter.