Aside fromYou can probably convert to a rectangular vent that equals the dramatic reduction in cross-sectional area of a 4" duct. You may have to get creative. The area of a 4" circle is about 12.5 inches square, so 3 by 5 would do, for example.
I would not reduce the area (almost halfas with a 3" round vent), as you'll increase backpressure and create a fairly severe lint-catcher. If you can enlarge the opening, I would trap.