Generally, most people refer to the Eagle River Blw Wastewater Treatment Plant in Avon gauge for the stretch of the river from the confluence with Gore Creek to Wolcott BLM access. This would include Dowd Chute, the "upper Eagle" below Dowd Chute to Edwards, and the Edwards sanitation plant to Wolcott stretch. This has been running about 1500 to 1900 cfs over the last few days. (4' - 5' on the painted gauge at the top of the Chute)http://http://waterdata.usgs.gov/co/nwis/uv/?site_no=09067020&PARAmeter_cd=00065,00060
The Eagle River near Minturn gauge is located near Tigiwon Rd, at the bottom of the Gilman Gorge section, and is above the additional tributaries of Two Elk Creek, Cross Creek and Gore Creek. If this gauge is reading around 400-500 cfs, it is not an accurate measure of the flow in Dowd Chute, as Dowd Chute lies downstream of the above mentioned tributaries. So, to say "the flow from Dowd Chute to Edwards is 470 cfs" is incorrect, and only about 30% of the actual flow in that section.http://http://waterdata.usgs.gov/co/nwis/uv/?site_no=09064600&PARAmeter_cd=00065,00060
The only additions to the flow between Dowd Chute and Avon are Stone Creek and Beaver Creek. They probably only add about 150 cfs or so during peak.
For the Edwards to Eagle section, you could reference the Eagle River Below Milk Creek near Wolcott gauge, as this includes the additional inflow from Lake Creek, Squaw Creek, Alkalai Creek and Milk Creek.http://http://waterdata.usgs.gov/co/nwis/uv/?site_no=394220106431500&PARAmeter_cd=00065,00060
I would describe Dowd Chute as class IV and the rest of the run to Edwards as continuous stretches of class III (can you call that class III+ ?) I have run the Eagle a bunch of times.