I would first try an H, then an H2. The 9mm buffer is nice (and great with semiauto-only rifles), but I have found it to be problematic with my Colt M16 when using 10.5 inch LMT and 11.5 inch Colt 933 uppers. It runs less than 100% and this was with brand new milspec recoil springs. It was most problematic when running the 10.5 inch with a suppressor. If my memory serves me correctly, I believe I was getting failures to feed. It seemed there was not enough energy to fully strip rounds from the magazine. Both uppers have M4 feedramps, near new Colt M16 bolt groups with Crane o-rings and proper M4 extractor buffers, and I was using Colt stamped aluminum thirty round mags with Magpul followers which had previously been 100% reliable prior to introducing the 9mm buffer. I was using a factory Colt M16 lower with a standard Colt factory fullauto fire control group. The only new variable in the system was the 9mm steel buffer. Once I started getting malfunctions, I immediately swapped out for an H2 buffer and subseuently had 100% reliable function.
Granted, this is a sample of one and not anywhere close to scientific. I now use an H2 on both M16s; one wears a Colt SOCOM M4 heavy barrel upper, the other an LMT 10.5 upper. They run flawlessly.
What are the specs of your personally built 11.5 inch upper? Whose barrel did you use?
I would start with an H or H2, shoot 500-1000 rounds and see how it works for you.