I'm not entirely sure how the mechanics of monks work. Do they heal themselves? When they do, are they not healing you? Is it their priority to heal you before themselves?
Priests prioritize healing DGs. A single unit may be healed once per 8s. Priests will heal themselves if you are not injured or have already been healed within the last 8s. Since you get two monks, they end up healing themselves quite often without detracting from the healing they give you. Unless you have an allied DG with you, in which case they will heal him.
As Sedna, I can't help but feel that monks off the break sometimes leave me weaker- unless I get blood as the favor, or the cloak of the night which has inherent mana. Granted, that is most of the time, but occasionally I get swift anklet on her, and when that happens I often find my monks getting owned and me running out of mana from having to recast them, and as a result of no mana helm and recasting monks, I find my mana pool tapped, my monks dead, and my health low.
Don't know what to tell you. Sedna with BotF + Monks is very strong early game.
Along those same lines, how much microing is involved in using Monks?
A fair bit. I micro mine to attack enemy DGs that I attack, run away from people attacking them, run over mines for me, etc.