The exhaust brake on a diesel (at least on commercial trucks) will lock down or limit the valve travel to make the cylinders big compressors. While proper transmission gear still needs to be selected, the addition of the right gear and exhaust braking will be a vast improvement over a gas engine simply using the engine drag.
I agree with all advise. It is probably not that you damaged your brakes (they will take a lot of heat) but you should have them inspected. Damage will show up as discoloration and probably warpage to the rotor (are these drum or disc on the Seneca? I don't know). If no issues, then keep rolling, but control your descents with combination of transmission, engine brake, and lastly, wheel brakes.
Thanks for being brave enough to post so others can learn.
Just a slight correction on Seneca exhaust brakes. The exhaust braking on our units is accomplished by the computer changing the vane position on our variable geometry turbocharger which increases exhaust back pressure. What system you described, acting on the engines valves, is an Engine Brake which operates differently but accomplishes the same thing. Larger Cummins engines can be fitted with an engine brake but they only use exhaust brakes on the Seneca ISB. Engine brakes tend to generate more "braking horsepower" than an exhaust brake generally can. Very useful on even heavier trucks as you might imagine.
And through the wonders of computer integration our exhaust brakes work in conjunction with the transmission. As one applies light brake pedal pressure the transmission will automatically downshift to increase exhaust braking effectiveness. That is of course assuming the vehicles road speed will allow for a downshift without overspeeding the engine by doing so. It will continue to drop gears until it cuts out at 15 mph where one must use the foundation brakes to bring to a complete stop. Obviously this is assuming that the exhaust brake is in the "on" position. Turned off, the unit will just coast like any other rig.
And air brake-equipped Senecas (2016 - up) do have drum brakes all around. However early Freightliner Senecas (up through 2015) have four wheel hydraulic disc brakes with power steering boost.