I know on a 10.5/ 10.3 barrel the "desired" gas port is .070 - at least in the clone world. These do have some issues running low powered ammunition on occasion, so an 11.5 at .073 might not be too overgassed running suppressed. My personal rifle is a 10.3 with a .082 port and that IS overgassed. I have an H2, but am considering moving into an H3.
Looked for a port diameter per barrel length guide, and found this:
http://www.ar15.com/forums/t_3_4/550213_Gas_port_size_and_distance.html
Some links in this as well:
https://www.ar15.com/archive/topic.html?b=3&f=118&t=628590
While this doesnt come out and answer your question directly, it will give you a baseline of where your barrel currently lies. Shoot it, see how it feels with the standard Carbine buffer. Then add the suppressor. Note the difference and note reliability changes, if any. Doesnt hurt to have different buffers on hand to swap out. If you dont short stroke with an H2 unsuppressed though, I'd probably stick that in there and be done with it.