MD Anderson has an Infusion Therapy team which offers PICC classes. I am not sure what the cost is. Contact them at 713-792-6161. Ask for Infusion Therapy.
A past employer sent me to MDACC (same as above) for their PICC training. It's a 4 day course, maybe 5, not 100% sure. But it was a great experience, a bit pricey though if you're planning on spending your own $$ on it. Total cost of the program was about $2k.
After browsing the MDACC site, I'm thinking the program isn't offered anymore. Here's the link to the professional educ. courses they offer. This is where the PICC line course was listed. It's unfortunately no longer there.