Well, moving fleet towards Sigmas would spell a disaster:
1) If it moves through Kusari, even if Kusari will let it through - it'll be sitting in a damn nebula, under constant attacks by both Rheinland, GMG and other parties in the region, with the constant threat of being backstabbed by Kusari AND Liberty(through Kusari).
Imo, a big NO.
2) if it moves through Alpha, even if Nomads won't interfere - density of asteroid clouds on the way there, and overall distance would spell a logistical nightmare as well.
What might work, is a guerilla warfare - especially if contacting different parties in the region (Corsairs?) and commencing swift bomber strikes on H-Fuel production facilities. Supplies will have to be delivered either through the use of JumpDrives (and you don't really need lots of them for such kind of operation), or with the help of Corsairs.
But, then again, since Liberty got their "We have stockpiled so much H-Fuel that we can run for years" and Bretonia got their own fuel production capabilities (am I right here?), it's not really useful.