This is the exact setup I used to capture the total solar eclipse on 8/21/17, although this picture was taken in my Pennsylvania driveway rather than Grand Teton National Park.
On the left is a Lunt 80mm Hydrogen Alpha scope with B1800 blocking filter, on a Vixen Porta II altazimuth mount with track and train motors, using a ZWO 1600 mono (noncooled) camera.
On the right is a Canon 40D with Canon EF 100-400 mm f/4.5-5.6 IS II USM lens, sitting on a (polar aligned) Sky-Watcher Star Adventurer mount, on top of a Bogen tripod.
The Acer PC runs Sharp Capture (for the ZWO) and Backyard EOS (for the Canon). All focusing is done on the PC.
Finally, and perhaps most importantly, the 50 cent cardboard box is ABSOLUTELY essential to shield the PC from the sun, otherwise focusing would be impossible (to say nothing of framing the target, etc).