Ants on my sherry....ANTS! HELP!!

[Samheartsorchids]

I recently purchased a beautiful oncidium from the Orchid crazy day at The Atlanta Botanical Gardens. Within a few weeks of taking her home, she bloomed from one of her 2 spikes!! I left her on my counter near the door to my backyard so she could get the light she needed. 2 days later, I go to smell the flowers, and there are tiny black ants crawling up and down the spikes and gathering on the flowers. They had also invaded the bottom holes in the pot and were crawling in and out. I rushed her to the sink to see if I could flush them out, but no matter how much water I put through that medium, the ants kept comming... fearing I would over water and ruin the next-to-bloom spike, I let her drain and set her on a higher shelf. I still see them crawling in and out of the pot, and they scatter whenever I lift it. I'm afraid that they have set up shop in my medium, but I don't want to re-pot with a spike about to bloom..... Are there any kinds of pesticides that I could use, without harming my Baby? HELP!!!!