Certain fraternities' bids are good for several months, up to a calendar year; depends on the fraternity. I know of people on my campus who rushed in the fall, got a few bids, pledged one house, then depledged 2-3 months later to accept a different bid from fall rush. So it can be done.
If you do have to re-rush, you face the definite possibility of not getting another bid. When the brothers vote, they may say "FloridaGreek depledged XYZ last fall, what's to say he won't do the same to us?" and not vote you in.
This is a decision not to be made lightly. If you have close friends in the fraternity/ies you're considering going to, and you trust them with a secret, talk to them. See if, now that a few weeks of your pledge periods have gone by, they feel their house has a strong brotherhood. I would recommend talking to members of your current fraternity, but you've already done that. You may want to have a one-on-one talk with your pledge educator or big brother.
Good luck with whatever you decide