I had 2 fast fires go bad from electronic issues with about 1.5 seasons on each. Sold the third one they sent me and bought a Venom. On my 4th season with it and no issues!

I found the FF3 with Piccatiny mount on sale at Academy for $199.00 yesterday. It can be mounted with or without the Piccatiny depending on your need (therefore I can use it on my Turkey gun or an AR or most handguns at any time I like. At Burrisoptics.com I ordered the SpeedBead mount for my Turkey gun that matches my gun and the FF3. The gun shop would charge me $26.00 per hole to tap my receiver however the SpeedBead I purchased with a Veteran's discount for $55.00. I obtained the discount by going to GovX and registering with my credentials and there found many more goodies with great discounts for Vets, Active Duty, First Responders and such. At least these are some options for you.

I’m on the horns of a dilemma.
I want a red dot for turkey hunting. But I also want to use this Stoeger 3020 as a general purpose shotgun too.
I’m wondering, since the Stoeger has the raised rib, if I’d be able to take the sight off and use the bead for general work?
I may be overthinking it.

I'm actually mounting mine when it arrives to a Stoeger M2000 that will be used for Turkey and as well for wing shooting. I was at McCoy's in Mobile the other day and they gave me the idea and told me that many of their customers were doing this with the FF3 mounted...shooting doves and ducks with great improvement. I will give it a try.

Why not try a rib mount like meadow creek that can be removed easily and reinstalled for Turkey season.

Iv seen 6 misses this year 4 of them were with a red dot . For a turkey standing still they are great but not so much on a moving bird . My gun shoots where I aim it with a bead so I prob won’t be changing anytime soon .

If you use a base like the Marlin 336 Burris base, you only have to drill and tap 2 screw holes.
The sight is held to the base with 22 screws as well.
you could easily remove the sight if you wanted to shoot flying birds

Do you know many people that take them on and off? Just wondering how well they would hold their zero.

No, I don't.
I don't know how well the would hold zero.
I have seen POI shifts simply by changing from filister head to bevel head screws.

You could go with the Speed Bead mount for the Fastfire. It sits lower than the fastfire mounted on the top of the gun and you can line the bead up through it.