Very little lime will dissolve in water - about 6-7 grams per gallon I think. 30 grams or so of lime should saturate a 5 gallon bucket just fine. I usually load a few "buckets worth" at a time into my Tunze 5074 so I don't have to refill it every time I refill the ATO reservoir....do what works for you/follow the instructions that come with the reactor.
No pH monitoring required when you do it this way - the ATO is the control. If you want to watch pH "just cuz", you still can.

If you mix with vinegar - which really is a pretty good idea - there won't be much/anything to watch though.
Interested to hear back on the Ca re-test!
-Matt