If that's the case, you might want to check out some live albums featuring Al Jackson, Jr.'s drumming (I look for any opportunity to talk about this stuff). Here are some of them (all of them except the last one are from that same Stax/Volt tour):
Otis Redding - Live in Europe (my favorite live album of all time)
The Stax Volt Revue vol. 1 - Live in London
The Stax Volt Revue vol. 2 - Live in Paris
The Stax Volt Revue vol. 3 - Hit the Road Stax
Booker T. and the MGs/The Mar-Keys - Back to Back
Funky Broadway: Stax Volt Revue Live at the 5/4 Ballroom
An interesting studio album that contains a little bit busier drumming from Al is Isaac Hayes' debut album, Presenting Isaac Hayes. It's really just a loose jam album, with just Isaac on piano and vocals, Al on drums, and Duck Dunn on bass. It was apparently recorded late at night after the Stax Christmas Party, when the musicians were a little (or perhaps a lot) inebriated. Al Bell (the Stax vice president) had been trying to talk Hayes into recording an album under his own name, and Hayes had been reluctant, but after having a few drinks on that night, he was game, so Bell seized the moment and headed down to the studio with them. The results are unrehearsed and unpolished, but you do get to hear Al in a looser studio setting than normal. Here's the title cut (Hayes apparently hadn't gotten around to writing the lyrics yet, so he just sort of moans the melody throughout it):
https://www.youtube.com/watch?v=dSIfqXmiyBY