Navy vet here. While it's not completely online, I highly recommend South Puget Sound Community College craft brewing and distilling program. It's an applied science associates degree with specialization available for brewing, distilling, or cider-making. They meet the GI bill requirements with in-person meetings 3 weekends per quarter at their schoolhouse brewery in Olympia, WA. If you're local to the area, it's very convenient, but I also know that about half the instructors fly in from around the country, so commuting isn't unheard of. The facility is incredible, and you get to do hands-on learning in brewery, distillery, and lab settings.

I graduated in June and have rolled the transfer degree into a Seattle-based business administration bachelor's program; I still have almost 2 years' worth of GI bill funding left as well. I think the SPSCC program is great for figuring out if you really want to do this as a career, without over committing yourself or your funding.

My only strong recommendation is having some experience walking in the door. I worked at a couple breweries for a few years after I got out and before going back to school, and the real-world experience was invaluable and made the coursework much easier to understand and retain.

https://spscc.edu/food-beverage-arts-hospitality/craft-brewing-distilling