Quickest and easiest approach to come to mind: If you "spoke to the siteadmin and he said its no problem", then ask them if they can provide you an alternate method of accessing the data you seek-either values to enter that will be accepted in lieu of the reCAPTCHA response, or another address that will provide access to the data without the reCAPTCHA requirement. (If the latter, they may also wish to restrict the access by IP address, user agent, credentials you provide, or some combination thereof, to prevent malicious bypass.)

Hope that helps.