What is the best port to play Doom and Doom 2 with uncaped framerate, responsive mouse and high res textures (without 3D models)?

I'd like to try Heretic and Doom 64 too but that is another subject.

w: i tried Doomsday engine a few years back and it had an horrible fps cap.

Im wondering what to use, after some search i heard GZDOOM is same as ZDOOM but with additional features. Zandronum may contain a backdoor. There is so many ports...