To use perl's native stringification method you can just use the static method overload::Strval. As for how you specifically disable stringification for output, I don't think you can control this, so you might just want a couple of wrapper methods along the lines of

sub foo::print {
  my $obj = overload::Strval($_[0]);
  print "$obj: @_[1 .. $#_]";
}
my $o = bless [] => 'foo';
$o->print('some output');

__output__

foo=ARRAY(0x1012116c): some output
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Also be careful about what you're blessing as you can't bless constants e.g

perl -e 'bless \1'
Modification of a read-only value attempted at -e line 1.
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HTH

_________
broquaint