Selling after refinancing with no/minimal penalty?

[Josh Weber]

Was wondering about this and figured I'd ask here before I go to my bank and ask:

I rehabbed a shell, renovated it, and have it fully rented (6-plex). I am about to close the construction loan and refi, but I have started leaning towards wanting to sell it rather than hold this particular property. I want to wait till after the year mark to avoid short term cap gains, obviously. But if I sell it right around that point, it puts me only about 8 months past my refi date. 

I'm wondering if I could ask the bank about removing, or reducing, the prepayment penalties if I 1031 this and use them for all of the financing of the next property (which would be a buy-and-hold since I don't want to deal with another reno like this for a while).

It's a bit unorthodox, I know.But is there any way to structure the refi to account for the likely sale in a short window without getting crushed?