Good Morning Kevin. You could use this delay control to activate a relay strong enough to feed fan motor power. It appears the device only opens/closes connection to one wire but that will do the job. Your relay should not draw anywhere near the 1.5 amp delay circuit output limit. Good luck with the project.
Here is the link.... http://www.supplyhouse.com/ICM-Contr...FYkCaQodZhAMSQ
This device is used for $20 (new it's over $200) from ebay. It's all in one rated at 10 amps a/c so should also do the job.
http://www.ebay.com/itm/AGASTAT-TIME...zIWbJ3CDB7Thxg