This is why you have such as totemic projection for HST and HTT, with a smart UW HR placed where your teammates will be moving through in a few seconds.
Any shaman that claims to not be able to do ANYTHING for movement heavy phases is just a poor healer. SWG for the first time you have to move. Ascendance+ HST for heavy movement with occasional pauses. HTT for times where you have to move clear across the map with no time at all for casts. Repeat.
Shamans aren't as gimped as you think. We can't meet other healers 100% for movement heavy fights, but we're not that terrible.