Yes! as a matter of fact you probably can Donate your Car to Goodwill!
A lot of Goodwill agencies accept car donations
Some vehicles are used as part of Wheels-to-Work programs. this program will provide reliable transportation to help people stay working. Many Other Goodwill stores use the proceeds from vehicle sales to fund worker training courses, employer services who work hard to place workers in the community.There are even that help programs for people who have disabilities, who have no education or working experience, or face certain obstacles when it comes to finding a job.
When a charity sells your car donation you can only deduct the proceeds the charity gets from the sale of the car. Donors must get a written acknowledgment from your goodwill that includes the sale price of the vehicle. If the charity uses the car for a charitable purpose, such as the Wheels-to-Work program, donors will be allowed to deduct the fair market value of the vehicle, and must obtain written acknowledgment from Goodwill, that states in what manner the charity plans to use the car you have donated. They state that they will give you written documentation within 30 days of the sale of the vehicle to help you with your tax purposes.
As you valuate your car for the deduction you can use resources such as kelly blue book to determine the value. Goodwill cannot make a determination that will satisfy the IRS.
Make sure you keep the records of how you came about the value of your car. I would also advise that you take photos, and make a copy of your valuation. You will need to prove that the car was in the condition that you claimed, so pictures of the actual vehicle would be recommended.