Mealy Bugs! Gah!

[Pilot]

I have a phal that came with a few on it-- picked them off and sprayed them down with a castile soap and neem oil mixture. I had a little girl crawling around the solarium so I don't want to use truly evil chemicals to kill these things.

I thought I had them under control until the phal began growing new leaves and roots-- the sudden growth, I believe, spurred these hideously nasty bugs on and I'm having a population explosion!

So, I guess the only thing I can do now is spray more often and isolate the plant...

But what do others say? What will kill these jerks?! I hate them with a passion because they're so gross.

I should mention the soap is spiked with peppermint oil... does wonders on many other bugs, no word yet on the mealy bugs.

Any suggestions? Oh and I'm also dosing with a systemic pesticide. Not sure if that was a good idea or not but I have to up the ante somehow.