Best circ is 2 zon / 30 frw / 20 dex / 30 str / 20 Res / 2 sockets with 2x 40/15 jewels or 2x 15/15 jewels
The added skills are for extra dodge etc skills and the dex / str give you more life and dex (damage) and res.
I'm sorry but FOI GMB is the best PVP bow in the game as the best zon setup is:
FOI GMB
Fort of chains or reg Fort
Rare zon circlet mentioned above
Cats eye
2 pass / 20ias / KB /15 str / 15 dex gloves
Perf Raven
9 min / str / dex / Res ring (option form2 other stat or crafted blood ring with those 4 stats for extra str)
War Travs or gores
Nos coil
this allows high Res, high damage, high dodge, max Ias, max GM run speed with 5frw scs, high life for a glass cannon zon
Your idea to use a mat bow is a flawed idea as the damage is to low and it is to easy to hit max Ias with a FOI GMB.
Sorry, you wasted your time with all your incorrect math.