As with Rescuetime I think it could be tough to make it worth while. The product is so great I believe you'll get much more bang for the buck with mouth 2 mouth recommendation. I've already told a couple about it ;)
Think about how much a (non paying) user is worth. (Multiply the conversion rate times the worth of a paying user). That number will tell you how much you should be paying per conversion from Adword Click to free user. I just checked, you pay an average of 10$ for the keywords rescuetime would be interested in. If you achieve a conversion rate of 10% for somebody who clicks your ad and then signs up to the service (which is pretty good in general), you're paying 100$ for a free user. You'd have to have extremely good conversion rates for this to be worth it.