One of audio recognition platforms, ACRCloud, does have an email for music submission (at the bottom of this page), but I'm not sure whether they only accept those from actual copyright holders or no.
According to an amazon listing with no copies for sale or photos the Radio station also released it as a cassette single.
https://www.amazon.com/Warren-Moon-Song-Dead-Dork/dp/B002E0FF68#:~:text=Cassette%20Single.,performed%20by%20Dead%20Eye%20Dick.
"Cassette Single. KDWB 101.3 presents "The Warren Moon Song" by Dead Eye Dork, The Dave Ryan in the Morning Show. Based on "New Age Girl" as performed by Dead Eye Dick."
In case somebody else wants to buy this album & rip flacs / add it to discogs there's three copies on amazon US right now , cheapest is $6.77 https://www.amazon.com/dp/B00094C2XU/ref=olp_product_details?_encoding=UTF8&me=