A lot of the delay is that even though we do have 24/7 support, sometimes our experts (hi) take time off for Holidays and stuff. We're working on that. Just takes a little more time to go from good to amazeballs. Also we ARE working on a list of not-recommended plugins, however we will not outright ban any plugins at this time, unless they're malware. The extra freedoms means you need to make some hard choices though
Because DreamPress is for ONE install of WP on a domain, and we don't support Multisite, having your 'dev' site in a subfolder is breaking that one So generally I suggest people develop sites locally on their desktop. You can use MAMP/XAAMP or tools like http://serverpress.com to build locally and push when it's done.
That said you actually HAVE WP installed twice. Once in the main site, and once in a subfolder, which messed up support, and is why we thought you had maintenance mode. You need to delete the unused WP files from your main site's folder please, since you're not using it, and having WP installed twice isn't supported.
What's happening is you have a plugin (or a theme) that is using PHPSESSIONS. Sessions are the mortal enemy of Varnish (our caching server).
Plugins that use sessions:
broken-link-checker - This plugin is VERY detrimental for any site to run, as it's very, very, heavy on your CPU. I would remove and delete it. It's a nice idea, poor implementation.
adminer - An SQL management plugin is not needed for most people. Anything it runs, you can do via PHPmyAdmin or command line, which would be way more efficient. In addict
gravity-forms-salesforce - This is still active, even though we mentioned it may be the cause. Actually you have it listed twice, which is weird and may mean it was installed wrong.
updraftplus - This is using sessions properly so I would be highly surprised to find out this was the cause.
kissmetrics - This isn't using sessions, but it's possible it could be a problem, since any metrics plugin can be scanning too aggressively.
That said, I also noticed you have a couple redundant plugins: kissmetrics, Google analytics, AND Jetpack stats - You don't need all three. Also WordPress SEO can take the place of BOTH Google Analytics and google-sitemap-generator.
These plugins are ones you really only need the one time you import/add content and then you're done: velvet-blues-update-urls, wordpress-importer, search-and-replace,
And then wp-dbmanager, much like Adminer, is one of those things that can work, but can also cause a sight to slow down. It's generally better to do this by phpmyadmin or command line.