Loss of the avoidance stats on gear isn't really that huge of a loss - for the most part, it's okay to use some of the gear that has avoidance stats (i.e. Parry / Hit, Dodge / Mastery); however, unless it is better than the item that you have on it's best not to have items that have both Dodge / Parry on them, if that makes sense.
Dodge / Parry still aren't bad stats, but in comparison to Mastery and Haste they are a little weaker in terms of mitigation - they have less damage taken overall but also introduce spikes. Although, you could cap Hit and Expertise and probably be fine with Dodge / Parry as your other stats.
You can see my gear for an example. It's not the best, obviously, but it introduces some of the idea behind at least the Haste build. I have Dodge / Parry on some of my items, but it's few in numbers. Healers tell me I'm pretty awesome to heal because I self-heal and heal people surrounding me with Battle Healer glyph.