Desperate mysqldump, getting error error #1016, can"t open *.ibd file

So we have a MySQL database that suddenly started reporting "can't
open *.ibd file" errors on InnoDB tables in phpMyAdmin. (MyISAM are
fine). To recover the data is all I want at this point -- so one
suggestion I came across was to try and dump using mysqldump like
this:

mysqldump -u root -p mydatabase > databasedump.sql
Enter password: *******************
mysqldump: Got error: 1016: Can't open file: 'access.ibd' (errno: 1)
when using
LOCK TABLES

Is there a way to run this dump so that it will export the database
tables and ignore the *.ibd error? I had read that removing *.frm
files might help, but our testing suggests that it isn't effective
either.

Any help will result in hero status. :-) Holiday card list and all
those good karma things.

thanks!!

Chuck