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Ok /tr/ainers, finally egg hatched. Mission was either in Crevice Cave or Blizzard Island, I don't remember. Checked which pokemons can be recruited there and guess what? Slakoth evolution can be recruited in Crevice Cave, and I got Slakoth from egg. If this repeats few times in a row, we'll be sure that egg always gives one of pokemons recruitable in the dungeon you're doing the mission in.
I also saved before hatching the egg and restarted. Pokemon is always the same, but egg moves are random. This makes getting pokemons with your desired egg moves much easier. Most likely all you have to do is:
>take ??? reward missions from dungeon that spawns pokemon you want
>get egg
>do missions till the day of hatching
>restart to get egg move you want