Googler Jade has announced in the forums that they are now going to allow instant verification via webmaster tools for many businesses.
From the announcement:
Good news — starting today, if you’re verifying a page for your business, you may be instantly verified on Google My Business if you’ve already verified your business’s website with Google Webmaster Tools. The verification will happen automatically, if applicable, when you attempt to verify a page for your business.
If you’d like to try instant verification, please make sure you’re signed in to Google My Business with the same account you used to verify your site with Webmaster Tools
Not all businesses with websites verified using Google Webmaster Tools will have instant verification, since not all business categories are eligible. If that’s the case, please use one of our other methods of verification (https://support.google.com/
You may be instantly verified to manage your business if you’ve already verified your business’s website with Google Webmaster Tools.
Make sure you’re signed in to Google My Business with the same account you used to verify your site with Webmaster Tools. Note that some business categories may not be eligible for instant verification.
If your business falls into one of the categories that doesn’t allow webmaster tools verification, it will still be necessary to use the other offered choices of postcard and phone when it is available.Google Adds Instant Listing Verification Via Webmaster Tools for Most Business Categories by Mike Blumenthal