Replace/bypass the Aux jack on stock 2012 uConnect?

The auxilary input jack on my JK is failing. I've got to rotate the cord and find the sweet spot every 45 seconds or so. I've tried other cords, just to rule that out. Bluetooth has never worked either.

I considered replacing the whole head unit, but I don't want to lose the Nav suite in the stock uConnect because that works phenominally out in the woods where my phone loses signal.

So does anyone know of a workaround or replacement of the aux jack?