SharePoint web pages inside ASP.NET web app

Hello,

We have a huge SharePoint web site of which most of the pages, web parts are controlled by Admins.

I was thinking of abstracting out common features such as Templates, Navigation, Footer to ASP.NET web app. I searched a bit and it seems there is no way (as of now) to embed SharePoint and MVC web app but I am fine with ASP.NET web forms.

I know there is a way to host webforms inside SharePoint but I don't want to take away control to create custom pages from admins.

Question: is there a way to host SharePoint web pages, SharePoint web parts inside ASP.NET web forms application?

-Mayank