It maybe close. My hood is an ASCD HO hood (which is the same thing as yours, minus the rear vents like on the SD. I have the same scoops and Ram Air setup as you) and my 2.00" Intercooler Core fits without any issues and plenty of room. My only issue was that solinoid on the BBV, which I cut off that bracket (like you did) and relocated mine because of the Ram Air ducting. and all was well from there. In fact, I have enough room, I think I could fit a 3" core under my hood without any issues. Course I got a bit more room than you because of the lack of the rear sunk vents.
Heres what I did before I installed my intercooler. I bought a bunch of Play Doh, and I put a good about at the highest point of the S/C, TB, and the BBV... I closed the hood and measure the heights in those key areas, I repeated this test a couple times to ensure no errors. It worked flawless for me and I knew I had room from the begining, minus that BBV solinoid bracket of course which was an easy fix.
Try this method out and see where your at. You'll be close, but i'll bet it'll work. You already have one thing going for you, you have fuel rails which increases clearence another half inch-inch easy.