Nikon Slug hunter. I had a similar one on my 500 mossy. It didn't have that BDC reticle and I really don't find those things useful but you may like it. It has 5 inches of eye relief so that wont be an issue. https://www.nikonsportoptics.com/en/...e-bdc-200.html

Since you plan on receiver mounting it then I would suggest a Picatinny rail such as this one and some forward mounting rings like this http://www.midwayusa.com/product/1477386787/weaver-tactical-thumb-nut-spr-1-piece-scope-mount-picatinny-style-with-rings-flattop-ar-15-matte
The base and rings are a little higher than your $40 bucks limit but you would be best served with a rig like that since you are receiver mounting instead of a cantilevered barrel rig. It will allow you to take full advantage of that 5" eye relief and not get the old scope eye. Hate the scope eye. It tends to leave a scar. Don't ask me how I know that