Looking at the documentation of Data::Dumper, I think you'd be best off by writing appropriate Freezer and Toaster subroutines, but there is $Data::Dumper::Bless which you can set to a subroutine name of your own choosing instead to load the target module:

#!perl
use 5.020;
use Data::Dumper; 
$Data::Dumper::Deparse=1;
$Data::Dumper::Bless="my_bless";
package Foo {};
say Dumper bless { name => "foo" } => "Foo";
__END__
$VAR1 = my_bless( {
                    'name' => 'foo'
                  }, 'Foo' );
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On the receiving side, you can then implement my_bless as:

sub my_bless( $ref, $class ) {
    require $class;
    bless $ref => $class;
}
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But again, implementing the appropriate Freezer and Toaster is much saner than using Data::Dumper and eval.