Those designs are glacially slow - what benefit are you actually getting out of using survey fighters, if it means you're taking five or ten times as long to get to places to survey?
For comparison, here's one of my very early geosurvey ships (Improved Nuclear Thermal Engine, like yours) with an appropriately early Jump Drive (Efficiency 5, a 4K RP tech) added to it, along with upping the maint/engineering spaces to match the range. (The original version of this was pre-jump, and displaced 8.9Kt.)
Aachen-B - Copy class Geosurvey Ship (P) 13,316 tons 141 Crew 813.6 BP TCS 266 TH 320 EM 0
1201 km/s JR 1-25(C) Armour 1-50 Shields 0-0 HTK 49 Sensors 0/0/2/2 DCR 4 PPV 0
Maint Life 7.12 Years MSP 2,152 AFR 355% IFR 4.9% 1YR 74 5YR 1,115 Max Repair 100 MSP
Capitaine de vaisseau Control Rating 2 BRG SCI
Intended Deployment Time: 72 months Morale Check Required
DERPZILLA JC15K Commercial Jump Drive Max Ship Size 15000 tons Distance 25k km Squadron Size 1
Refóios Drive Systems NTE Mk2 Extended Burn 1.25Kt EP80.00 (4) Power 320 Fuel Use 8.94% Signature 80 Explosion 5%
Fuel Capacity 1,500,000 Litres Range 226.6 billion km (2183 days at full power)
Geological Survey Sensors (2) 2 Survey Points Per Hour
Gravitational Survey Sensors (2) 2 Survey Points Per Hour
This design is classed as a Military Vessel for maintenance purposes
It's 18.4% of the BP of a Columbus II + four of your survey fighters. It's six times the speed of the survey ships, three times the speed of the carrier, has a six year deployment, maintenance and fuel burn time, and can be built in a smaller shipyard.
Building five of these for the same BP cost as one carrier + 4 survey fighters gets you faster surveying, in more places, with longer deployment times and more range.
Even with your early tech, those are unsuitable for the task you've set them to - small survey craft only make sense if you can get enough of a speed boost out of them that they can provide you with a real increase in survey speed, and those that you have there cannot.
EDIT: I would also have to agree with macks - taking 125 years to get to NTE tech is insane. I'm playing on 25% research speed, and 100 years into the game (2175, started in 2075) I'm at Magneto Plasma tech.
DOUBLE EDIT: If you'd be willing to share what your best PP techs are (along with your latest armor tech), I'd be more than happy to see about putting together a better design using just the capabilities you have on hand.
TRIPLE EDIT: I have fixed my original DERP of putting military jump drives on these, which, it turns out, results in them being even better in comparison to your survey carriers. Welp. And I just noticed that I oversized the jump drive by 2K jump capacity, so the Aachen-B based design should be 50km/s faster and 3.9 BP cheaper, but that's not really a big deal for the point I'm making.