1. Don't confuse TSA and Immigration/Customs. They have zero to do with one another.
2. TSA won't care about the pills.
3. Customs won't care about the pills either unless you're bring a giant bag of them.
4. If you're paranoid, just have the pills in the prescription bottle that's in your name.
I routinely carry a blister pack of generic Viagra with me, and Customs has never said a word in the 2-3 times I've been secondaried over the last few years.