Lanolin/Beeswax Free Lip Balm?

I have extremely dry chapped lips - always have. My skin is also very dry. For lips, I've tried Aquaphor, Laneige, Carmex, Fenty, etc. A friend suggested maybe searching out something that is free of lanolin, beeswax, and/or carnuba wax. She even suggested looking for products that contain petrolatum/microcrystallin wax. Does anyone have any products they recommend? I looked up the ingredients for Summer Fridays lip balm and it seems like it might fit the bill, but I'd love something more matte/less gloss, like your average chapstick.