In addition to the Stream trial of Eve, which gives you a 21 day free trial, there's also a new Wingman program. If you do a 14 day free trial and subscribe for at least a month, I can sponsor you for an extra 14 days of free Eve. So you get 14+30+14 = 58 days of Eve for a single month's subscription and no initial purchase. Why, that's long enough for Dave to beat the game!
I don't know if you could stack the Stream trial with the Wingman trial. That'd be a lot of free Eve.