Dairy intolerance?

So my daughter recently turned one and I switched her to milk. I started with almond milk because I’m not a fan of dairy, but it wasn’t filling enough for her and she would want like 15oz at a time. So I gave in and started giving her cows milk. I noticed that she seems to have acid reflux. She’ll throw up a few times a week. Not like projectile (a couple times it has been) but more like spitting up. She burps and swallows a lot so it’s like she’s burping something up and then swallowing it. I was doing research and saw that GERD and milk allergies are related. Has anyone else gone through this? Does it sound like it could be the milk? I’m going to switch her to coconut milk and see if that helps but everyone says there’s not enough nutrients in anything except for cows milk so I don’t know what to do. She’s always done fine with dairy products, like cheese and occasionally yogurt. But maybe now that she gets about 20oz of straight cows milk a day it might be too much for her. I appreciate any advice!