Try the clamp/capo trick if it bugs you and see if it helps. Make sure you pad the clamp so nothing gets scratched! On mine the clamp below the G string tuner worked the best but you may have to move it around. Someone mentioned tire weights but I don't know what that'd do to the finish short and long term.
I forget where I got this but it's a great article on dead spots:
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Even with the 'extra hardware,' it's my favorite.
I guess Scott's not going to chime in about the neck issue? So far, it's holding up okay.