I run an LD340 with Eddie AVS and it fits with a stock air cleaner. I compared the LD340 with an Air Gap side by side at a swap meet and they are the same height. So my guess is it will fit.
Don't have your setup Kid with intake and DP, however with a 14x 2" open filter I had to use a dropped lowered base pan to clear with my 318. (Just in case your wondering about non-stock Open)
I happen to have a 340 with RPM Air-Gapand a Holley 650DP in my 68 Cuda
I had to use a drop cleaner, and a new stud to get it to close properly. The stud was a key part, as it hit the hood before the air cleaner did and made a little dent.
I am using the Profession Product Cross wind and I have clearance with a 2" filter element and a flat filter base. I am using a 3" filter now with a dropped base and have clearance. This is on a 68 Barracuda.