This time of year, an 80e and 2800 converter, i'd say it shouldn't be overheating, so it's not normal.
The single BM is more than enough to cool the trans.
I'd bypass the radiator and see how it acts, it's possible there is a restriction in the radiator. ( we have an SS here that has a restriction in the radiator, bypassed it and now it's fine).
Touch the trans lines just before the radiator, are they hot? This is to ensure fluid is flowing thru them.
200deg isn't hot, but it's on the warm side for this weather and the cooler you have, we see about 150-180deg in the summer on the highway.
If all this doesn't fix it, just drive it till it breaks, it might just be the transmission.