Table does not exist even if there is one
Removed ibdata1? You can* remove iblogfiles but not the ibdata1!!
They're system tablespaces storing tables, indexes, metadata, undologs....

*=> Removing iblogs is okay once you stop mysql but not while it's running!

Update: Removing iblogs is okay only after shutting down mysql with innodb_fast_shutdown disabled.

You might like to review this answer to understand what is wrong! You might want to do a restore from the snapshot may be.