Almost all of the aftermarket wheels will be "flat". The factory "deep dish" steering wheels started with Ford in about 1955, as a part of their "Lifeguard Design" safety orientation of steering wheels and padded instrument panels. The deep dish is supposed to catch the driver in the event of a sudden, unrestrained deceleration, OF the displacement of the steering column toward the driver. It's more than just a fancy way to build a steering wheel! In a time when seat belts were optional, rather than standard, too.
In order to keep the turn signal stalk and shift lever near the driver's hands, they were angled out to match the steering wheel "grip" location. Which makes a "flat" wheel have the problems you noted. The Chrysler "Tuff" wheel option, circa 1970 might have a little offset, but would still be pretty much "flat". Repros and Grant look-alikes are available. BUT there might be some factory/repro items to space it out better. Only thing is that the rear diameter of that wheel might not be the same as your existing factory wheel.
Just curious, are you wanting a custom look or just something different? Reason I ask is that you might take your stock wheel to a quality upholstery shop and get them to put some leather covering on it.
Just some thoughts,
CBODY67