I would say that it's a blocked air admittance valve under that sink. When you look at the plumbing for the sink, do you see a section of pipe which runs upwards with something that looks like a screw on cap? That's the air admittance valve. When you send water down the drain, this valve opens to allow air into the plumbing to allow the water to flow down freely. If it's plugged, the result is what looks like a plugged sink. It will only effect that fixture, the rest of the system will drain normally.
If you have one of these, unscrew it and see if the sink drains normally. If it does, you found your problem.
Of course, that assumes there is no separate galley tank. :)
~Rick
P.S. On edit: Dale.Traveling beat me to the post. His picture is of one type of valve, but you should be able to pick up a different type for under $10, perhaps under $5.
Here is the one used on our RV.
Also, you can download the plumbing (and other diagrams) from Winnebago
here.
P.P.S. I just downloaded the plumbing diagrams for a 2012 Journey 40U. You do have an air admittance valve on that sink. I only see one gray tank and one black tank shown in the plumbing diagram. Those diagrams are AWESOME! Nice touch, Winnebago! :)