For me, the thing was always to take your time. I never tried the dryer, relying more on many many towells. But if it was still pretty damp, when you hung it up, it should be OK.

The basting, for me, was the most important part. When I do my wools, the hardest part is on my back. Leaning over the bathtub and squeezing the water/soap mixture and then the rinsing was hard on my lower back. I've always been afraid of the washing machine or dryer on wool. The agitation is what bothers me.

Let us know how it comes out, and what you learn, and what you will do differently next time.