the checking account offer isn't compensation for something you've already done. I think that makes it clearly distinguishable. But I'm not a lawyer; get competent legal advice before deciding you can pretend a tip-for-commit payment didn't happen.
But again, lawyers haven't finished discussing all the legal ramifications of crypto-currencies or for that matter the internet in general.
First, the money isn't available since it hasn't even been sent to you. Until you sign-up for the service, and provide a bitcoin address for the funds to be sent to your private key, they are not available. But more importantly, since you have no business relationship with the person giving the money, I would think the best characterization for the income is a tax-free gift (up to $14,000 per giver). But IANAL, and this isn't tax advice.
I don't believe that's correct. A check which is never cashed is not income, as the funds are never transferred there is no income, there is no income tax. The point of the IRS regulation is that tax period in which the check is received is the applicable one, rather than the tax period when it is cashed.
See IRS publication 525, page 2, "constructively received income": http://www.irs.gov/pub/irs-pdf/p525.pdf
There's some fuzziness and legal room here but the safe thing would be to declare it as income.