Open style reflex sights are handy dandy, compared to tube style red dots, but be aware that water/snow/debris can obstruct the emitter. On tube style red dots the outer lenses will get wet like a conventional scope, which is less of an issue. Of course, there are covers available for each.
Image below shows my 336 with Burris FF3. Easy for a right hand shooter to turn the sight on with left thumb. An FF2 would probably be similar. Either way, battery life is good so you wouldn't necessarily need to worry about conserving the battery.
Burris FF3 is $203.86 at Amazon with 1913 mount. Have seen them as low as $180.
https://www.amazon.com/Burris-30023...mp;sr=8-1&keywords=burris+fastfire+3