I'd say check back but having a quick brainstorm, if you have JJ here, how do you play out this hand, for example, if you don't think he is checking QQ-AA and you have JJ here, would you bet small or half pot to hope he comes along with a hand like AK?
I've been reviewing my 3 and 4bet pots recently and seem to bleed in these spots and was constructing ideas to be more balanced, esp in spots like this.