I looked at a Rossi at a local farm store and I've looked at the EAAs when GM puts them for $299. Neither impresses me as going to be a long term use revolver. The EAA is really heavy but I don't think heavily built. I would be leary of running hot loads or even hotter factory stuff.
The Rossi just didn't seem up to snuff. The finish looks a little cheap and I would also question durability. I would take another Taurus before either of those.
I am comparing these guns to the standard of my S&W 686 so maybe I'm being a bit harsh. I've gone through the cheap and more guns phase and now I would rather buy less guns at a higher quality.
For that price or less, you can pick up something similar to a used S&W 65-2, full size revolver in .357 mag. Many of these types of guns were carried much and shot little and are in mechanically new condition. I have one stashed for my wife's "Alamo" gun.
"It is better to be too skeptical then too credulous"
Sometimes you can find a Dan Wesson 15-2 in that price range. Most cheap Dan Wessons have a lot of miles on them but they shoot good. Take someone with you that knows revolvers or have it shipped to a gunsmith that does FFL transfers. My gunsmith is not cheap or quick. He charges $60 for a transfer and it takes him a couple days to get around to inspecting the gun. But he sees things that I wouldn't see for weeks. He isn't excited to be getting a new gun. He is just doing his job.