The Slug Cruiser achievements are pretty easy to do compare to other ship. I’ve been lucky and managed to grab 2 of them in my first try and got the third one (Home sweet home) after because I wasn’t able to go to two nebula sector.

We’re in position!

While using the Slug Cruiser, have vision of every room on the enemy ship without functioning sensors.

To earn this achievement it’s probably better to have a teleporter, once you board with some of your (Slugs) crew you should manage to see the whole ship.

Earning this achievement requires a teleporter, as the player must have some of their crew (most likely Slugs) board an enemy ship to see the inside of it without functioning sensors.

A way to accomplish this is by upgrading to a level 2+ teleporter then teleport your two slug crew onto an automated scout ship. With the upgraded teleporter, there’s just enough time to teleport them out before they suffocate.

Note, many of the early-game pirate or rebel ships have layouts that can be completely viewed by only two carefully-placed slugs.

The achievement can still be earned if the sensor system is installed on the Slug Cruiser, but the system must be either destroyed, fully ionized, hacked, or incapacitated due to a nebula.

Note that hacking, boarding drone and mind controlled crew can help you achieve this achievement too.

Home Sweet Home

Jump to 30 nebula locations before sector 8.

This achievement is probably the easiest if the 3, it’s mostly require luck that you have 2 sector that are nebula and you should probably be fine. Since nebulas  (even a whole nebula sector) slow down the Rebel Fleet, you will be able to visit more beacon that in an usual sector. You just need your 30 jump before sector 8 and you’re golden.

Disintegration Ray

While using the Slug Cruiser, kill 3 enemy crew members with one shot from the Anti-Bio Beam.

I managed to earn this achievement by putting on fire some a room that and they were no rock crew. All the enemies crew went to the room to take the fire out, but once they start having low hp they leave the room, at this moment I fired my anti-bio beam and killed 3 of them.

Side Note from the wiki:

There is supposedly a bug that count your own crew when you killed them. The exploit is to send two of you crew to fight and when they are low in health fire the beam.

Note: Killing System Repair Drones or Anti-Personnel Drones also counts to the limit of enemy crew members killed. I don’t really understand why that work since they are robot not bio unit. Give it a try and if it work let me know.