Cleaning a tall chimney

How do I clean a chimney that projects 8' above a pitched roof?

The sweep wants about $270 to clean it, top down. They say the Lopi inserts can't be done from the bottom up. Seems to me like it could be done bottom-up, if I could get a rod that would make the bend in the firebox -OR- have short enough sections to get into the stovepipe from the firebox. I have a rod designed for cleaning pellet stoves that can make the bend, but isn't stiff enough to push the brush up the stovepipe.

In the pic, the gutter is about 11' off the ground; when standing on the roof above the chimney, the caps top out above my head. The stove is in the middle run.

Any ideas?

Thanks for the replies so far. Sooteater might be the way to go. I like the strap & ladder idea too; but its a little challenging because the roof pitches away on both the north & south sides. I could probably rig one to keep the base from sliding down & a second higher to keep the ladder on the chimney. Would have to do it when the wife is away, I think.