Quick and dirty (Windows 7, Perl 5.8.9):
Module check_module.pm: 

package check_module;

use Exporter;
our @ISA    = qw(Exporter);
our @EXPORT = qw(@checks);

our @checks = (
    {
        name   => 'Anybody home?',
        script => 'qq/echo $home_dir/',
    },
);

1;

[download]
Note esp. that  'qq/echo $home_dir/' is single-quoted in the .pm file.

Script: 

c:\@Work\Perl\monks\ExReg>perl -wMstrict -le
"use strict;
 use warnings;
 use check_module;
 my $home_dir = '/home/mine/';
 for my $check ( @checks ) {
   print qq{Checking $check->{name}};
   my $evaled_script = eval qq{$check->{script}};
   print `$evaled_script`;
   }
"
Checking Anybody home?
/home/mine/

[download]
(Update: The trick here is to eval the  $check->{script} string from the module in the scope of the script in which  $home_dir is declared and initialized.)

Update 1: If you had included the  use warnings; use strict; statements in the .pm module (after the package statement), you would have had a slightly earlier and possibly slightly more informative notification that something was going sideways.

Update 2:

... [a] system that cannot use CPAN ...
See Yes, even you can use CPAN.

Give a man a fish:  <%-{-{-{-<

In reply to Re: Variable declared in script, used by module, and used in script (updated) by AnomalousMonk
in thread Variable declared in script, used by module, and used in script by ExReg

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