This transaction structure will take more time to close than normal ones so make sure that you have adequate time in your purchase agreement to get the deal done.
As for whether you would qualify, on the face of the information you've provided, I'd say why not. The lenders will ask for more details in order to confirm your info because that's what underwriting will hinge on.
I think Ben really hit the nail on the head! TCF might be an option....I have heard they have the most flexible parameters for 2nd liens if you do not just go Jumbo, but I have never used them for this situation so I can not say it for certain.
Worst case go super local with a bank (the ones you will never hear of online) or a credit union. If you have already sold two houses you should have a realtor you like at this point. Part of our job is having good lender contacts, and in your case finding the lender that meets your needs. Maybe ask them too?