Captcha::reCAPTCHA is pure Perl and wouldn't require root access to use a local copy. Just install it into a local user directory and use 'use lib' so that your CGI script will find it.
I haven't found Captcha:reCAPTCHA to be the world's easiest software to use, but it's OK.
This example is derived from one of the posted examples; you may find it useful. Note that I'm assuming that your Captcha::reCAPTCHA library is installed into a local directory, and that you've situated your public and private key files appropriately. Note that for security reasons these key files (especially the private one) shouldn't be located within web-browsable disk space.
HTH ...
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