The Circuit Park Kiriyanai is mainly a facility for off-road driving but it also has a facility for gymkhana driving. Please see the promotion video:
Costs for driving in Circuit Park Kiriyanai are 3000 Yen for a full day off-road driving. The price is the same for a full day of Gymkhana driving. In addition it is also possible to do motorcross and this is 1000 Yen for a full day.
The nearest city is Nachinohe which is in the east of Aomori-ken. It takes approximately 20 minutes by car. No public transport station are close the circuit.
A link to the website can be found below:
And a link to the location on Google Maps: