I was going to say hand drums like bodhran are made of goatskin and perhaps he'd like to make music for you at a local folk group.. I think it's fun and the goat(skin) gets fed Guinness if you follow an Irish traditional music scene - it helps maintain proper tension apparently
The other thing would be a book or something? Depends what you can bear, holding in your hands, looking on your wall, putting your feet up on it, beating it could all be as bad as sleeping under it depending how you think. I reckon if it had been my goat I'd not keep the skin but use it for someone else, and use a skin from their goat in return, just to reduce the personal attachment. But I don't know, perhaps it will feel good one day to have preserved that part of him and used it.