I wouldn't find a better name than Bitcoin to describe the coin of the digital or Internet.
If I have to choose something else, I would pick something related to freedom without using freecoin because it isn't free after all, maybe liberty or decentralised coin or universal coin.
I put the initials of these words and I find it already taken by a coin..
Before Bitcoin, there are some other coins and you can discover more about them in
Bitcoin prehistory.From technical developments to projects like Digicash (1989), Cybercash (1994), E-gold (1996), HashCash (1997), Bit-Gold (1998), B-Money (1998), and BitTorrent (2001).
Those prehistoric coins laid foundations for more developments and a first successful digital currency, Bitcoin, with its genesis block mined in 3 January 2009.