I think this is a good idea... but, you have to remember that sites like this (other sites might be different) are like, community environments rather than on-demand services.
The biggest problems you'll hit are; convincing forum owners to allow automated registrations; making sure that lots of similar questions don't end up in the same forum(s) (it's less likely if people actually come in and look at the forums first), and making sure members of forums who are answering daily surges of 'how do i do this'/'why doesn't this work', 'tell me the answer to...' type questions don't end up feeling as if they're being treated like machines.
There are things like; newsgroups / usenet and mailing lists where you can just 'ask' questions and hope someone replies; but even with those, there seems to be a certain community aspect.
What you ask is, technically not difficult. In practice though, something like that would almost certainly be met with a certain.. political oposition so to speak.
This isn't meant personally, but in terms of your use of words: If you think that it takes alot of mouse strain to log in and post a question; don't log in, and don't ask it : because it undoubtably takes more strain for anyone answering your question to a good standard to do so; and chances are its not in their own interests to answer; or even read any question you may have. Google will give you a great long list of 'answers' to questions, in less time than it takes to wonder what the answer could be for yourself..
^_-
