For anyone else who is getting this problem and is using pasgui's repository, I have found a workaround that only involves using the Synaptic Package Manager.
1) Go to Settings -> Repositories -> Other Software and disable pasgui's repository
2) Reload
3) Go to Settings -> Repositories -> Other Software and re-enable pasgui's repository
4) Reload
This will (I think) force pasgui's version of wx, which is compatible with his version of Code::Blocks. For me, at least, this will be a sufficient workaround until Code::Blocks v10 is added to the Ubuntu repository.
Thanks again for all the info and advice.