Highly ASCII-specific, and inefficient, but perhaps mildly interesting. Appears to work, though no absolute guarantees are made of course. Using tr/// is kind of a wart, though, hmm.
sub contains_alpha
{
use bytes;
my ($string) = @_;
my $len = length($string .= "");
my @b = map{$string & (chr(1<<$_) x $len)} (0..7);
tr/\x01-\xff/\x01/ for @b;
my $result =
(~$b[7]) & ($b[6]) &
(($b[4] & ~($b[3] & (($b[1] & $b[0]) | $b[2])))
| ((~$b[4]) & ($b[3] | $b[2] | $b[1] | $b[0])))
;
$result =~ tr/\x00//d;
length($result);
}