There’s the line my instructors repeat when someone is fidgety or somehow distracted in class…or if they are worried after class about the state of their practice…
Do the Yoga.
…kinda the yoga equivalent of Just Do It.
Sweaty Serenity
Gumby’s
The Home Stretch
Flexible flyers
Pliant Place
Mat-tastic
And somehting wants to form around “The Last Supper” and the word “Supple” but I can’t quite make it work . . .
I vote for “Bend it Like Bikram” though. It’s good enough to change modes for. . .
At Last, Supple , is all I can come up with there.
“There Is No Try”
The Yoga Hut?
Joe’s Bar and Yoga?
Around here, the <Town> House of Yoga would be amusing (after the ubiquitous <Town> House of Pizza )
I think I like Twist-It, Sister better. 
These are all wonderful!
Shirley’s House of Yoga
Acme Yoga (for the cartoon fans)
Flex Appeal might be better.
Si
(borrowing from Steely Dan) “Pretzel Logic”
Cat Cow Dog and Cobra
Eye-am Gombi Dahmit
Yoga Nalovit
I don’t know about the name but make sure to advertise, “Flexible payment plans”