Any games where shotguns stay useful past point-blank range?

Ready or Not is one candidate to check if you want a slower, more tactical shooter. I’d watch a little gameplay focused on shotguns before buying, since the feel depends on the spread and damage rules, and those may not match what you mean by realistic.

It may help to separate believable pellet behavior from simply making shotguns stronger. A game can keep them useful at range through a tighter spread or higher damage, without modeling realistic ballistics. If you want the latter, look for gameplay that shows the pellet pattern and damage at different distances.