My wife is 5'0" and I got her the Franchi Affinity 3 Compact in 12 ga. Youth model and fits her well. Great gun.
However, you're asking about "newer types" and listed the KSG in that category. Have you looked at these AR style shotguns coming out? I'm looking to get one myself for home defense. I like magazine fed compared to tube for the MUCH faster reloading. Since they take AR buttstocks, you can adjust your length of pull to whatever fits you. Look up the Armscor/Rock Island VR80. That would be my choice. There are other similar guns but haven't seen any range reports on them.
Here's one of many links to it:
https://palmettostatearmory.com/arms...tgun-vr80.html
Finding it in stock may be a challenge though.