Aase began racing in 1973, entering two different class races in the American Road Race of Champions for Don Burns Racing, where he finished fifth and eleventh. The following year he entered the Watkins Glen 6 Hours alongside Scooter Patrick, driving for himself. Also in 1974, he competed in the Mexico 1000 Kilometers in a Porsche 911 S alongside Adrian Gang, finishing ninth overall, and participated in four races of the American-Canadian Challenge Cup, ending eighth in the overall standings.
Aase's only appearance at the 24 Hours of Le Mans came in 1977. He drove the No. 77 Wynn's International Porsche alongside Bob Kirby and John Hotchkis. After qualifying 50th, the trio completed 247 laps and finished seventh in their class and 20th overall. This remained Aase's sole Le Mans entry.
Aase, Kirby, Hotchkis, and Wynn's International raced together again in 1978 in three rounds of the World Challenge for Endurance Drivers Series but did not compete for points. In 1979, Aase returned to the series with Koll Motor Sports alongside Alan Johnson, this time running for points and finishing 61st overall. He raced in the series again in 1980 for Alan Johnson, contesting three rounds and finishing 123rd in the standings, tied with nine other drivers. His final World Challenge entry came in 1981 with Kendall Racing, driving a Porsche Carrera and finishing 74th.
Aase joined Kendall Racing for the 1980 IMSA GTU Championship Series, entering six races and earning three podium finishes to finish tenth in the standings. In 1982, continuing with Kendall, he had his most productive early IMSA season, taking three pole positions, three podiums, and a win while finishing tenth in the championship.
In 1983, Aase moved to the All American Racers team, driving a Toyota Celica. Despite earning five pole positions and a win, he finished 36th in the standings. Over the following years with All American Racers, Aase developed into one of the team's consistent performers, and by the time he concluded his IMSA career in 1989 he had accumulated seven wins, sixteen podiums, and four poles across his seasons with the squad.
After leaving IMSA, Aase remained away from racing until 1996, when he entered two SCCA World Challenge races for AASCO Performance, finishing 34th in the overall standings. In 2000 he drove a Porsche 911 for AASCO Performance at the Bosch Sports Car Summerfest at the Glen in the Grand American Sports Car Series alongside Bobby Oneglia and Andy Hajducky, but the team failed to finish after spinning on lap 104.
In 2006, Aase drove the Toyota Celica he had originally raced in 1987 at the Goodwood Festival of Speed.
Aase died on February 28, 2023, at age 81.