If you don't have the time, then the anima weapon is just not for you and you don't really need it. All you need to do is run a couple roulettes most days and you'll eventually get it. No one is forcing you to be the first person to get it done.
To the person mentioning gil, this game literally craps gil at you. Between gil rewards for roulettes, challenges, and most importantly, your TIER 5 MATERIA YOU PROBABLY DON'T NEED IF YOU DON'T RAID, you can have plenty of gil.

Spent all your gil on a house? Grats, that's your thing to show off, you don't need a relic.