Full AOSP 4.2.2 - Update
Well I have identified several problems with why chrome won't startup and it's gonna take me a while to figure about what the best solution is.
So for now at least you can use the included AOSP browser which includes google bookmark syncing etc or you can choose to install you own like firefox.
I'll go ahead and make a release.
This is a new ROM and will be called Apollo Nexus and will be issued at release v1.1. My intention is that this will supersede Apollo Gapps.
There will also be a separate flashable gapps package which should be flashed after the main ROM package.
Again this might take me a while to get things uploaded on my super crap broadband connection.