It is possible to transfer a character off to a new account, but it costs $85. The reason for this is the new account has the have the same name on it as the original account. While you can change the e-mail address, phone number and mailing address you can never change the original account owner's name. The reason this costs $85 is $20 for a new copy of WoW, $40 for BC and then $25 for the transfer fee.
While I appreciate your offer, an un-geared 60 doesn't have much value, especially considering I have to spend another $85 to get it transferred. Also, I'm looking to buy cuz I seek immediate gratification. If I were willing to wait I could level one myself. I've leveled quite a few characters and am quite good at it. In any case, I doubt I would be willing to offer you enough to make it worth your while to level to 60 just to sell it. This would be more for someone who has a retired paladin they're confident they're not going to play again and would like to get something for it, preferably without needing to transfer it to a new account as I can then offer them a more fair price for it.
Thanks again for your offer though.