Well, I'm not sure I would say there is no solution Michael - just that the stipulations put by the client prevent the use of perfectly good, existing (and commonly used) methods within Moodle. But hey, they're the client, you can only advise them of the alternative solutions and if they want to tell you to use oars on a motorboat thats up to them. And if the external designer tells them "'they're very nice oars" ...
You should probably also point out to them though that 2.2 is no longer supported and really should be upgraded as soon as possible.
Good luck
Richard
PS
Feedback and quizes have been around in Moodle since v1.x and would keep that central location within the company rather than out in the cloud on someone else's serversas well as allowing far easier tracking and logging of who has done what - just because something is called a 'survey' doesn't mean you have to use the survey module for it.