Hi,
I use an F2 umbilical and I love it. It's the pro head though not the tri-star but for the rest of it it's the same.
I personally attach it to the back plate using some webbing and a pair of quick links like this
This enables it to sit out of the way and I don't even know its there. Routing it on the harness also works nicely (I tried that too) but the battery was a little short for retaining the long hose in a DIR stylee (just my own personal experience of course).
Anyway I hope this helps,
Noel