I'd like to get my Magic from 77 to 82 what would the best way to go about this.

I don't want to burst Lobsters and rather not spend more than about 2-3 mil.

I think bursting 77 - 82 costs much more than 3m :o

 

Rock lobster guide

He said he didn't want to.

I reccomend fire bolting blue dragons in the ogre enclave. I learned this from Demby, it's good mage xp (Even better with sc robes) and you profit. A lot.

A way for some of the quickest experience (but needing a lot of clicking and attention), is a combination of stunning + alching, which can be done quite easily in your POH on an elemental balance or at the wilderness ditch on skeletons. Although you need 80 magic for stun.

 

Until you hit 80 I would suggest what ragmar said, but you could also mage barrows, as it is about 3.2k magic exp per run if I remember correctly.