Just to add an update: I have brewed two batches of this beer, one pitched with S-04 and one pitched with WLP029 German Kolsch Yeast. There is a difference.
The first batch (S-04) doesn't have the fruiter, crisper finish that kolsch has. Now, the S-04 batch has been chilled and on gas for a week and is still a great beer. The WLP029 batch was racked to secondary to dry hop today, and that's when I had a sample taste.
As of now, I would say the Kolsch yeast is key for getting the fruitier, crispier notes in the finish.
I think this could be a house ale.