Hello kwelb2,
To obtain any other pickaxe without bridger coins, you can ask in chat if anyone is selling that pickaxe directly and make an offer with them. Or you can go to the auction house to see if anyone is putting it up for bidding (which is currently disabled at the moment of sending this message). Or you can purchase a rank from our store,
here and claim it by doing /kit (rank). Or you can try to win it from a crate. Other than that, there is currently no other way to obtain a pickaxe other than the methods listed above at this time.
Sincerely,
JoshIsChill