The cheaper way to make limited is dark the weapon 1st, then buy all the bloody wep stones to finish limited.
If you are considering a limited wep upgrade from bloody r110, the cost of remaking the weapon or the stones shouldn't be an issue.
If this upgrade is a massive cost to you in comparison with your other gear, I would advise putting whatever adena you have into other upgrades that will push your dmg output up more instead of going for limited.