Never underestimate Eminence. There's been several heroics where Eminence was about all the healing needed for the run. This is including Eminence from the statue and the Serpent's Zeal buff. Occasionally It's even 3rd to 5th top heals on some raid encounters.
Renewing Mists. I keep it rolling pretty much at all times. It's buggy as hell and sometimes I feel like it's programmed to jump to where it's least needed, but it does work in most cases and many times it's nice to have that Uplift fuel available. It doesn't really cost any time or mana to hit it on CD. I generally just keep the boss targeted and let it self cast on me and spread from there and I get fairly good coverage, and over the course of an encounter it's a lot of healing that you don't have to put much effort into just like Eminence.
Mana regen. There's no magic number on spirit. Some people have much more than I do and always go oom. Others do fine on less. I found a nice happy spot on mana regen, If I'm oom it's because the encounter went bad early, I just got combat rezed or I panicked when someone's health dropped and dumped half my mana bar on them.
I use Glyph of Mana Tea and generally hit it on CD. I found that with the new crit to tea buff I had way too much tea. If you're using the glyph and only stacking crit for the purpose of gaining more tea, you may be wasting it. If you want crit for the crit then go for it. I dumped all my crit for other stats and I still always have tea on CD.
Mastery. Some people really hate it. Some people only like it for 25 mans. Just on a whim I forged into a ton of it one week just to see how well it could do. Since then it's generally been about my 4th highest heals in most 10m encounters. For me that's proves the skeptics wrong on the uselessness of mastery. That's one more high output heal that you don't have to put much effort into.
Melee vs Range. I don't think there's a right or wrong answer here. There's a lot of passive healing that goes out from melee healing. The boss mechanics will treat you as melee regardless of where you choose to stand. I personally like having the luxury of choosing where I want to be based on the encounter, but I prefer melee when possible due to higher healing output and I tend to use less mana that way.
All in all I enjoy the weirdness of mistweavers above all else. It's not just another healing class. And there seems to be a lot of debate still on the right and wrong way to gear, spec and heal with a monk. Hopefully this insight will either help or enrage some other monks out there.