and there wouldn't be any drawbacks to running a drive for months at a time?
They already run for years at a time.
can you dock dropships to a spacestation while it is using that tenth of g to transit?
Docking hard points (be they cargo bay doors or actual collars) are not meant to carry attached ships while under thrust. You'd need dropshuttle bays.
and can primitive dropships with no KFboom use station docking collars?
The boom doesn't matter for normal docking. Use a cargo bay door as a docking spot. StratOps clarified that doors are suitable docking points.
i'm currently looking at feasibility for getting to the more distant sun in the system, which would be about a 5th of a lightyear trip. according to the travel time calculator i found, even with 1/10th g constant thrust you'd be looking at nearly 3 years one way.
Sounds correct. A 0.1G drive could do that.
Note that BT fusion engines went to high thrust levels pretty quickly. The Magellans were launched in the late 2020s at 2Gs for interstellar flight.
getting between the two main stars (which range from only ~36 to 12 Au apart) would be comparatively easy, it would just need good sized fuel tanks on regular dropships.
Sounds like you're modeling it on Alpha and Proxima Centauri.
I think you could use a dropship tug to put a space station into an Aldrin Cycler type orbit.
If you have BT fusion engines then cyclers are painfully slow. In 2027, the Columbia made the trip to Mars in 14 days. Shortly thereafter, the Magellan probes managed 2Gs for months at a time. In comparison, cyclers often have years-long cycles between two planets. 0.2 light-years would have cycler flight times in terms of millennia.