Your needs sound exactly like mine about 8 years ago. I had a small "aquascape"-style pond (it was pretty, but not ideal) that was destroyed twice by raccoons, which started me down a path of education and several years of planning to create my new pond.
What I ended up is a 3000 gallon pond, rectangle, 2 feet above ground and 2 feet below. Cement blocks with rubber liner. I hid all of the plumbing and placed my filters about 20 feet away and out of sight. I have one 3" skimmer line and one 4" aerated bottom drain with a very gentle slope on the pond bottom that helps the waste naturally go out to the filters. In 5 years, I have NEVER had to clean or vacuum the inside of the pond. I'm extremely happy with this setup.
My intention with this post is to say that I think you're definitely on the right track! I like your idea of using bottom drain(s) with a sloped bottom, but I would add that only a very slight angle is needed for waste to naturally go to the drain. The water flow from BD aeration will help with that too. No need to overdo that slope.
-Steve in Phx.
Novice Extraordinaire