Is my cooling system operating normal?
If youre running 190 down the road and it doesn't go higher when idling, I'd day you're all good and leave it alone. But if you find the mechanical only insufficient at idle (just switch off the elec fan to run the test), then that tells you that you need the elec fan at idle and I would keep it.
As for dual electrics only, there are numerous combative threads on here you can search and read. I run a Jegs dual electric puller setup that comes in its own shroud. I sealed that shroud up pretty good to the rad and I've not had any issues with it here in Florida heat (mid-90's). As there's not really any bracket racing in the summer down here, I add street tires and mufflers to the car and use it on the streets. Then start over with the slicks and open headers for racing again in the fall.
I do not run the trans fluid through it as I have a separate Derale cooler/fan for the trans. The only time I feel the need to run that fan is after a pass at the track where it will hit 190-ish. Flip the fan on and by the time I'm back to my pit, it's usually back down to 160-ish. (Keep in mind I run an 8" converter that flash stalls at 5000rpm at the track.)