Starting from whichever of Sol or Colonia is closer, and assuming you don't take more than 5-6000t of services on board, you should be able to carry enough fuel in the carrier's cargo hold to reach your destination. It's almost an extra billion credits up front for the furthest destinations, and fuel supplies in Colonia might be a bit scarce to start with, but it'll make moving the carrier into place much quicker.I have not found in a topic yet: was it discussed, that each cmdr, who goes with the FC, could store in FC up to thirty T9s full of tritium, instead of mining all the way? (Please correct me if I’m wrong, I’m not sure, how many ships each commander can take in FC with). These T9s could be then sold back (or abandoned).
Are there other contras in view, alongside of money splash?
Additional T-9s belonging to other commanders could board with extra Tritium (not limited to 30, just however many friends you can convince...) which can later be transferred to the hold or depot as the carrier's own stocks are used up, but this shouldn't be necessary following their "at least" doubling of fuel efficiency unless you take a lot of outfitting/shipyard stock as well.
As stated above, the additional T-9s must be the CMDR's active ship, because stored ships can't hold cargo. They could fit some mining equipment to the T-9s as well, do a bit of mining for extra Tritium at the destination, call a cheap DBX to the carrier's shipyard, sell the T-9, and head home.
Having surplus Tritium on board the carrier, and having it become a deep space mining centre, gives you an extra possible funding source for it - selling Tritium to mobile carriers passing through.