Thanks all for your suggestions.
Before posting, we had changed the drain basket and tried the hair snake. Those didn't clear the issue.
Since this is the first septic system we've dealt with, we were hesitant to use any chemical solution.
Today I rented a 1/2 inch snake from Home Depot. We got it started about a foot but then it wouldn't go any further. Turns out there was another tub diverter with a large spring on it that had a very large wad of hair and soap sum wrapped up in it. Don't know why the hair snake didn't catch on it. Anyway, we pulled that whole mess out, cleaned it up and it's draining again. And we're not reinstalling that tub diverter.
So another DIY success!
And I learned for the future that I'll start with a smaller (1/4 inch) snake.
Thanks again.
What a great community.