That is what Spacemaster is for. Just change it to a commercial JD.
This time around I am using big, commercial carriers (110kt) with 2500t dual purpose survey ships. The 1st version of the carrier had 4 parasites, now I am up to 6, thanks to more efficient jump drives and engines. They are rather quick (~3500km/sec with ion engines, current internal fusion drives version goes 4400), have enough fuel and MSP to last for a long time and have magazines for sensor drones (the 1st version didn't, which was rather inconvenient as the 2 drones my survey craft carried were gone long before they needed to head home and I didn't have a missile transport for the longest time, as I don't use military missiles so far).
The parasites have a maintenance life of about 10 years, so I can keep exploring for quite some time, they now have 1 box launcher (size 6) and 1 of each sensors with a 1000t (slightly smaller for the newest ones) engine at 75 to 85% power (it increased with better fuel efficiency). Also a science department.
When I get into a new system I detach the survey ships, shoot drones if necessary and wait for what they show, then set the primary to survey bodies, the secondary to survey points and the conditional to return to the carrier if their fuel gets low. Then tell them to divide into single ships (the standing and conditional orders are carried over to each of the new single ship fleets).
I have to manually tell them to land once the system is fully surveyed, and I might have forgotten to tell them to go out and find stuff again after they ran low on fuel a few times, but after I got used to it it went surprisingly smooth without too much micro.
It saves a lot of flying back to base to refuel/overhaul and I don't have to bother to manage tankers, ammo/supply carriers or maintenance ships/bases.
The original 4 carriers are still going strong, having recieved upgrades, and I never felt the need to get more. Playing with standard survey speed here.