Now I'm fighting waterfiends to OSRS GP obtain crimson-colored charms as well as using the citadel learning thing. Are there any other faster methods or a different method (like Killing Bork) that I'm missing out on? I play maybe 1-2 hours each day. Can I realistically expect to get this within the next few days?

Familiarization is an D & D that will drastically assist you. It's quite long to explain, so go to YouTube and look up a guide for it. The reward for the practice is the chance to play for 40 minutes during which all the monsters you take down are dropped not only single, but not triple charms, but instead TRIPLE.

I've camped in waterfiends for the same amount. You should be able to kill them pretty fast. It is important to Bork every day will help make more blue charms. Rock lobsters that burst would used to make great charms, but I view it as a bit unnecessary due to the enormous amount of loss that you suffer. The ability to cannon the larger demons in the Forinthry Dungeon can also be a great source of charms, but I don't know how effective the cannon works in EOC.

I would guess that if you go camping with on the waters of the world, you'll be able to easily get the charms needed for 774 by the time the quest becomes available. Make sure you use your spirit rubies, emeralds, etc. when you are training! Consider also doing a challenge such as While Guthix Sleeps or Blood Runs Deep, both of which will give you an enormous amount of knowledge that you could make use of when summoning.

I'd suggest Slayer. Slayer allows you to buy OSRS gold encounter numerous creatures that offer a lot of profit, mostly. You can decide from the start which is your preferred monster to take down.