I did not have any areas touching metal. Since it is an acid I would think it would be wise to use baking soda to neutralize. It should bubble although I think it will be minor due to the weakness in the solution you are using. Good thinking. Also a little spray of laquer on the metal touching the wood as a barier would be wise.
Since there is a bathroom next to my work area I stick the stock under a fine spray from the shower and quickly wipe it off with paper towels. I then let it dry for an hour and go back to work on it. This has worked for me but I don't necessarily recommend it.