I say we replace 'bits'
(which is already defined here http://en.wikipedia.org/wiki/Bit as the most basic unit of computing) with 'Hals' in memory of Hal Finney.
I'm no fan of the name 'bits', (e.g. "how many bits per bit is that?") BUT I think it's too late - and I won't be getting pulled into that debate. And there's no reason why the name and symbol need to combine. After all, dollar doesn't start with S (as in $) and neither Sterling nor Pound start with an L (as in £).
It's only been 4 months since Bitpay decided to start using 'bits'. When the lowest denomination is named after the creator of bitcoin, why can't the recipient of the first transaction of bitcoins (Hal Finney. Satoshi sent him 10 BTC as a test.) be the second lowest unit? It just makes more sense than using 'bits', in my opinion.