I brewed a honey basil pale ale back in September, while the basil was growing strong. Still have one bottle of it left. Turned out very nice. I would change my recipe slightly if I did it again, for even a bit more basil character. It came through, but very slightly, in the way it is not easily recognized as a basil beer. It was there, but only in the background.
For an 8 gallon batch, I used 2 oz of fresh basil, chopped, at 1 min left in the boil. I threw in the 2# of honey at flameout. If you can get some honey malt... I used 12oz of it which gives the beer a nice malty sweetness.
I would also keep the hops low and just on the bittering end, to allow the basil to really come through. The recipe you posted looks quite good, but is leaning towards a braggot with that much honey.