To refi to conventional you will need to meet the lending standards as if you are buying the house. You will need to have atleast 80% percent equity in the house to avoid mortgage insurance. They will hold you most likely to max of 45% DTI on the backend. Quickest way to see what you could qualify for is;
3580 x .45 is 1732
You have one debt and that is 350 in student loans. That leaves you with 1382.50. 1445
By calculations with a rate of 3.5%(its currently a little lower than that), and taxes and insurance the payment is 1445. You are off around 63 dollars. In this scenario you would most likely not get approved for the Refi. If you could find a way to do something with your student loans and decrease them by around 75 dollars a month to give yourself some wiggle room, You could obtain this.
Hope this helped
