May I ask which bank?
You may.
May I not answer?
IndyMac. They have one of the best closed end 2nds right now. But, requires great credit and great reserves. Basically, prove to them you don't need it, and they will give it to you.
If you go with a HELOC, just walk into Wells Fargo or Washinton Mutual and they will do them for free of all upfront fees, get you the lowest margin, which is sometimes less than prime depending on your FICO and LTV, and have your money ready in 2 weeks or less.