How about adding to the game a Military Star Base Module that increases the number of Logistics Points that a Fleet can have, BUT it only works inside the range affect of that Star Base.
The problem will be what happens when that Fleet leaves the range of effect of the Star Base, does it have to remove ships or does it keep the extra ships but can no longer add ships that put it over it's normal limit, i.e. without the affect of the Star Base module.
There is already a Tech for high level Star Base defenses (I think it was Orbital Deployment Mastery Tech) that gives +20 Logistics Points, but that gain in Logistics Points is good everywhere once you get the Tech.