I have boiled paraffin wax (much hotter than just melting it) and then dropped the wooden pieces into the boiling paraffin for several seconds. If you do something similar then do it outdoors. I have a backpacking gas stove to do this sort of thing. Also wear protective gloves, faceshield, long sleeves, etc. Hot boiling wax that splatters on you will produce a really bad burn. If the wood has any moisture in it, it can make the wax pop and sometimes violently. You might try something similar with the beeswax if you take all the necessary precautions. An easier solution is to soak the piece in mineral ooil for a few minutes. After a couple days, the mineral oil will have soaked deep into the wood and there won't be any surface residue. I have a Nick Cook honey dipper and I believe that he leaves the wood completely bare. Anyway, I just rinse mine under warm running water and then dry it with a towel. It seems to work just fine that way.