You mentioned the gentleman you called did the "digging". I was wondering if you have the documents that were given to you. You should have disclosure documents prior to the signing and the documents you actually signed. Maybe you could review these (perhaps with an attorney) to see if you were promised one thing and then given another. If so, you can register a complaint. I'd start with your senators and congressional representative.
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Your lender may have switched you to a conventional loan in an attempt to get you the lowest rate possible, however this should have been communicated to you at the time. The upside is that conventional loans rarely have pre-payment penalties; check with your lender to be sure though.
Before refinancing compare how much money you will save on your monthly mortgage payment versus how much it will cost upfront to refinance and how long you plan on keeping the house. Just because rates are lower doesn't mean that refinancing is always a good idea. Any good lender in Omaha can assist you with determining if refinancing makes sense.
Well...to me it's not cool that the lender who you refinanced through didn't tell you that they put you into a conventional loan. Everything should have been disclosed when you refinanced. Is it bad that you are in a conventional loan? No. You can still refinance a conventional loan. I would contact your lender, ask what options they have available and make sure you don't have any pre-payment penalties on the loan they gave you. And ask questions so that you know what you're getting.