How to make App Store list only iOS 5.1.1-compatible apps?

My old Gen2 iPod Touch is frozen at iOS 5.1.1. I know I can go to the App store and attempt to get all kinds of apps for it, but I have to try to install each desired app one by one, in order to receive the same error message over and over again stating that that the app is not compatible with iOS 5.1.1 along with useless advice to "update my iPod" (which of course can't be updated past iOS 5.1.1).

But I believe there still may be some apps that ARE still compatible with iOS 5.1.1. If so, how do I make the App Store show me only those apps?