IIRC from years ago when I bought castings for a living the wax they use is a pretty high melting point, it is almost a plastic, but molton alloy will replace it, called lost wax casting. But something like your badge you can do at home in a small pot of sand and it would be re-usable over and over again. You press the badge in and pack it then carefully remove it and fill in voidwith melted alloy. Really cool and all you need is a small propane furnace and melting pot to do it, scrap alloy can be melted and poured. There is you tube out there for it.
Cheers