Agree to attend training, but since you're an hourly worker, rather than a salaried employee, only on company time. You're not about to be taken advantage of. Make several calls about different training options, pick out ones you like best, and discuss them with your boss before getting the training set up. You're short about three courses on your degree, but things are so busy you haven't had time to think about registering this semester at the local college, where you've been enrolled part-time. Today is the last day to sign up.
Life's too short.
It's important to you to do a good job and get things in on time. You're finishing a big assignment two days early and you have some time on your hands. Use the time to organize your work space even more. Ask your coworkers if they need some help. Let the boss know you're finishing early and ask if there are things she'd like you to do to move other projects along.