Random dragonriding mount?

[thepariah]

I'd like to have a button I can bind on my action bars that randomizes the mounts I own that have the dragonriding capability.

I have the summon favorite mount button, but I deliberately only favorite non-dragonriding mounts because I sometimes want or need to have more control of my mount. So favoriting and using a macro is not really an option.

At present, I just have a single dragonriding mount bound to my keybinds, but I'd like to use more of the ones I have. Any help would be great!!!