I have a Danby mini fridge that is about the same size as the Sanyo, and I had to buy a "low-boy" tap in order to fit a 1/6 barrel in there. Unfortunately I'm at work so I can't tell you the exact height inside my kegerator.
However, I've found that using these adapters
and these MFL threaded cornie coupleres
really make it easy to switch between sanke and cornys. However, it doesn't look like this setup would work with that low-boy tap since it appears to have barbs for both gas and liquid. I'll see if i can hunt done the low-boy model i have.