Hop on Genesis 2 to get the free tek armor from there.
Then travel to Aberration this suit works as a unbreakable hazmat armor and can be charged freely in the element water in the red zone (fully charge it you can See the percentage on the armor in your inventory).
Now you can just fly into the rock drake cavern while pressing sprint and controle grab an egg and just fly back out there you go you have your first egg.
They lose 1 point of food every 15 seconds, so to time how long until they start starving, multiply their current amount of food by 15 and then divide by 60 twice. This will give you the number of hours left untill the food stat reaches 0.
Obtaining this creature will require you to enter the tek trench where puprle liquid and the nests of these creatures lay past the bioluminescent chamber, there you must steal an egg and raise in a cold environment feeding it nameless venom you can get by killing nameless
The rock drake trench can be found at 57,56 at the area of the map called grave of the lost. Recommend u bring a glider suit and climbing picks and if u have a good tame to fight the drakes. In the wild they can be invisible and can glide in the wild so watch out also wear a HAZARD SUIT it's needed. Lastly there are a lot of nameless in the area so bring a light source. Good luck and ohh it needs to be cold to hatch so air cons
With TLC Update 3 out and wyverns are now breedable, I would definitely recommend getting a 190 high base stat breeding pair ready for the future as I don't see why they wouldn't make Rock Drakes breedable as well.