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If the loan was obtained without your consent and or as a result of identity theft, why would you pay it? If this is the case, you need to file a police report and then dispute with the 3 CRAs.
If the loan is yours, I would try to do a refi and in the mean time, keep paying on time so that you can re-fi at a later date.
IMHO I would not depend on any of the so called bailout programs unless that was really your only option after cutting expenses and a second job.
You first need to pull your reports and see which months are being reported late, so you know exactly how they are reporting.