Weird White Screen Problem

Yeah I know, another dreaded white screen of death problem. This one has me baffled though.

Everything was working fine yesterday then we did a domain switch to make things live today and now we’re getting some very strange problems.

The white screen is NOT persistent. We get it about every other time we try and access ANYTHING in the /wp-admin/ subdirectory but absolutely nowhere else on the site.

I have tried disabling all plugins with no luck. Switching to twenty-twelve also did not help.
I tried increasing the wordpress memory limit also with no luck.

It is a multisite install and we’re using a good handful of plugins, but like I said disabling any of them has no effect. I’m running out of ideas here. After the domain switch there are absolutely no references to the old domain either in the theme files itself, or in the database.

If it wasn’t the domain switch the only other update I did post launch was updating MailPoet (due to a security flaw that was pointed out all over the place today). Disabling MailPoet doesn’t help though so I’m at a loss here.

Any suggestions would be great. Thank you in advance.