Steve, I don't know what your gloves cost but you can buy several square feet of veg-tanned 1.5 oz pigskin liner - used for lining leather bags, etc - for about $50 at Tandy. 1.5 oz. is 0.6mm thick. I would split one with you. I don't think chrome tanned leather is as durable and it does not wetform as well as veg-tan.
Or, stop in at Tundra Leather in Hamilton to see what what they might have and you might be able to buy a smaller sample pack rather than a whole skin as with Tandy. I bet your goatskin would work great but it needs to be sub-millimeter thickness in my limited experience.