Could be worth a try - and/or I guess, do it the other way round too: the systems I tested with Kaine were just four random edge-of-bubble systems I expected (correctly) to have no traffic, and where I don't have any particular preference for what happens to the influence levels, so you could try some or all of those.
Col 285 Sector OT-G c11-12, Col 285 Sector OT-G c11-6, Hydrae Sector QY-R b4-2, Col 285 Sector PO-G c11-22 (the last one has a very long supercruise)
Col 285 Sector OT-G c11-12, Col 285 Sector OT-G c11-6, Hydrae Sector QY-R b4-2, Col 285 Sector PO-G c11-22 (the last one has a very long supercruise)