Alright I'm going to give you an option over your budget first, just because I like the reticle and it works very well for a shotgun out to 25 yards.
https://www.primaryarms.com/holosun-paralow-hs503g-red-dot-sight-acss-reticle
I've bolded the important part for shotgun use.
HOLOSUN HS503G ACSS CQB
Primary Arms and Holosun have collaborated to create one of the world’s smartest red dot sights, the HS503G ACSS CQB. Looking through the Holosun for the first time feels like playing a video game, but nothing here is for show. Every element provides you with more information than you can get with an ordinary red dot.
The first thing you’ll notice is a large horseshoe (A) calibrated to approximate an average shotgun pattern at 25 yards. The ACSS horseshoe grabs the eye instantly for unbeatable sight acquisition in closequarters. Up close, roughly center it over your target and fire immediately.
Mounted on a shotgun, the horseshoe allows you to devastate rows of stationary clay targets or steel plate racks at ranges out to 25 yards. You can select whether the horseshoe appears in the reticle or not by pressing and holding the (-) brightness button on top of the HS503G.
For precision shots with a rifle, the center aiming point is a chevron instead of a dot.
Rest of the reticle info
As far as red dots sig romeo 5, primary arms SLx microdot, bushnell trs25 are around $70-130. Bushnell being cheapest.
Tbh I'm not very familiar with sights in the price range.