We played on roll20 so I used color borders on the system hexes to track attitudes.
They managed to recruit 23 systems including tech world and kyeiroa.
I did use the factions and assets and I allowed them to be utilised during the blockade to sabotage systems etc.
We are kinda happy to stop where we were. We will go back to another traveller campaign soon and Drinax will be as it is, so if the PCs go there the systems will be recognisable
Congratulations to you and your Travellers! I'd love to hear about the characters your players created!