Bill
Hi Dan,
I would start at the Swiftwater TH. It's the first access pt. to the NUT from Roseburg (Tioga section). The first half is pretty mellow to the Susan Creek bridge, roughly 7 or 8 miles. You'll then hit a pretty good climb as you head east, then Bob's Butte which is another fairly challenging climb.
Stop at the Forest Ctr. near Glide on your way for a free detailed map of the whole trail.
Enjoy,