The problem with killing aiptasia with Joes Juice or kalk mix is you're only killing what you hit. Believe it or not aiptasia move, and as they move they drop baby aiptasia along the way by splitting them off at the foot of the thing - this is called pedal laceration. What happens is you hit one, and a few days later one of the babies grows to take it's place, but you think the old one has regrown.
So to kill a big group, especially an establisehed group with kalk or joes juice is going to take a long time, and you're going to have to repeatedly kill some locations.
Make sure you aregetting the things to ingest the mix rather than just coating them externally - they can survive that. That is the advantage that joes juice has over kalk - it contains a feeding stimulator, so they will ingest it, and then burn up, explode. If you find they keep closing up as you're trying to get them, one you need to be quicker and get a steaier hand, and two, drop in a little frozen food - the aip's will 'smell' it, and open up to start feeding on floating debris.
Frankly if you are repeatedly getting lots of aips, they are being fed by something, and that is likely you overfeeding the tank. Putting in straight cubes of frozen mysis, brine is a sure way to get problems like this, and various algaes. You should take the frozen food, defrost it in a small pot, and feed the shrimp, not the packing juices.
