With only 1 mismatch, just throw all the patterns together and let Perl's regex engine have at it:
$pat = join '|', reverse sort keys %pattern;
$pat = qr/$pat/;
Any vaguely recent Perl has the "trie optimization" which will automatically merge the branches. You can run with
perl -Mre=debug to see what's going on.
EDIT: For more than 1-2 mismatches, you'll need to do something a bit fancier, either constructing a suffix tree or using seeds (you can show that any k-mismatch pattern must contain a substring of your original pattern of at least a certain length). I don't know of a Perl module off-hand to do either.
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