Hey Clay,
I use Adsense Manager plug in for this https://www.ads-software.com/extend/plugins/adsense-manager/
It let’s you input code for widgets (not just adsense code) and also has inline support. Virtually anything you can put in the sidebar, there will also be the option to add it to posts in the editor via a drop down menu.
When you create your “Ad Unit” (again, it doesn’t have to be an add. it has taken every html and java code for me so far) simply choose on the left side “Yes” under the drop down for posts, instead of leaving it default.
Hope it helps.