After getting an answer to this question I came across this article which states (without giving an alternative) that you can't say:
1.「歌い もしない」- "Can't even sing"
2.「書き もしない」- "Can't even write"
The reason given is that you can't form a noun out of 「歌う」and 「書く」this way.
If this is the case then how can one say "Can't even sing\write"?
As a side note I find it ironic that I can't even write "I can't even write".
Thanks!