Not solo, but with 2 guildies.

For fun stuff like that I've kept on to my trusted old http://www.wowhead.com/?item=28066 totem
That + glyph of lightening (at least until the next patch) + 4x mana spring + bow + jow means i regen mana when spamming lb.

As an additional note, it's quite pointless to solo mc until the next patch where they remove the majordomo summoning requirement.
In it's current state you'd have to not only wait a long time for cooldowns but also have some hydraxian rep to be able to clear mc.