As you’ve said that you would like the total cost for everything (drone, goggles, transmitter, etc) to be $200, you are probably looking to get something in the Tiny Whoop class.
These will generally use 1-2S LiPos, have ducts around their props and use motors in the 08xx range.
In the past year, Whoops have moved to using almost exclusively brushless motors, though some still do use brushed.
I would recommend you get a brushless one if at all possible as they are more powerful and don’t wear out anywhere near as fast.
They can be great fun to fly around indoors and outdoors.
Another option around your price range would be a toothpick.
Simplified, this is the internals of a Tiny Whoop mounted on a carbon frame and often given larger motors.
Within your price range, I recommend you look at the Emax Tinyhawk RTF bundle, which comes ready to fly with everything you need, or the Eachine Novice series (though I’ve seen reports that the transmitter on the Novice I and II are not particularly good, and the goggles also stand to be improved).