There are, apparently, people in the US with Rodrigan as their surname, and they first arrived there sometime around the 1920s.
If someone has the correct access to Ancestry.com (whatever "correct" might be), they might (by accessing, say, immigration records) get an idea of the original origin of the name and thus its more likely pronunciation(s).
If someone has the correct access to Ancestry.com (whatever "correct" might be), they might (by accessing, say, immigration records) get an idea of the original origin of the name and thus its more likely pronunciation(s).