I've donated several cars to the Kidney Foundation. They make it so easy to donate. But I've only donated cars I've driven until they just won't go anymore without dumping a lot of money into them, and high mileage. They will tell you what the tax deduction is worth too, so that you won't make a mistake on your taxes.
I think that you have to decide if the tax break helps you more than what you'll be paid by selling it to a dealer or person. That would be a dollars and cents decision. OR decide to donate it or sell to a car place because it's a headache trying to sell it on Craigslist.
I have never sold to a person. Only to a car place. The last car I sold, which was last year, was to CarMax. I did get two other offers from dealersips, but CarMax offered me more, and they were SO easy to deal with! Less than an hour out of my day, and it was done. (The car was in good shape and not a beater, so it wouldn't have been a donation car...)
If you don't need the money so much, I would not deal with the Craiglist issue. It's a lot of hassle, in my view.