Binance will support the mainnet swap but I do not think they will honor the airdrops. It really is best to get your tokens into a wallet that you own and control the private keys for.

This option does leave you in bad position if you want to trade though but saying tha​t, most of the airdrops are 1-1. The potential profit could be greater than any trading possibility, just check out eosDAC, it is up 100|% from the initial​ airdrop date, just my 2 cents.