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That's not too difficult to handle. Here is how I would go about it. I would first fix the existing website 404s, yes you have some as I checked your website. next, I will set up the 301s from old website urls to new urls and also install a 404 monitor plugin. also I woulld suggest that without deleting the copy that we have in old subdmain, if you can 301 everything there to www instead of old.domain.com, that will help.

Hi David, That's really an interesting scenario you've described of actually preferring your purely organic result over your local one. What has likely happened is that your previous organic rankings have simply blended in with your new local ones, because most local rankings are blended these days. Thomas' suggestion is a creative one and may be worth trying if you truly feel you were benefiting more from a plain organic display vs. a blended local one, but now that you've got your local info out there, how Google chooses to display it may be difficult to change.