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Hmm, soy choc milk or one of those non-dairy alts?
Does your 'no processed' rule include making your own recovery drink with sugars, proteins, salts from bulk powders/myprotein?
http://www.bikeradar.com/forums/viewtopic.php?p=15406169
http://community.myfitnesspal.com/en/discussion/637154/non-dairy-recovery-drink
https://www.bikeforums.net/training-nutrition/708912-dairy-free-no-whey-etc-recovery-drink-bcaas-enough-other-options.html
It depends what you're trying to do and how long you're riding for. I can't physically carry enough food for some of the training ride calories I use, nor can I hope to eat back the calories I've used afterwards. Liquid calories make getting close a lot easier though. I'm more interested in performance than diet rules. If eating deep-fried, honey-coated, chocolate-filled KFC made me faster, i'd be doing it.
Do you consider milk as a processed food? You don't need 'recovery products' or 'energy products' to get liquid calories.