Tim,
I believe your plan of attack will work to reduce or eliminate most of the leaf rust spores. I would recommend burning or bagging the fallen leaves, not composting, spores may over winter in compost.
I had a similar rust outbreak in September of this year, and posted on identifying leaf rust. A Forum member posted ..." the usual recommendation is to treat with 5-5-50 Bordeaux spray (copper sulfate, lime, water) every 2 weeks for control... There may be something on the OMRI website too". I have not used Neem Oil but it was recommended. I used a copper sulfate soap concentrate (OMRI certified) that was successful in stopping the spread of rust, as long as the environment was dry. Baking soda has also been used as an "organic" fungicide.
Simple Fungicide Recipe
1 tablespoon dish soap
1 tablespoon vegetable oil
1 tablespoon baking soda
Mix with one gallon of clean water and use in a sprayer.
The attached link has pictures of my copper fungicide treated leaves at the end of the season, after I stopped treatment, showing minimal rust damage on upper surface of leaves, and multiple nodules on bottom surface of leaves.
Our cold winters should kill most rust spores, and an appropriate mulch would also help to reduce infection (inoculation).
http://figs4funforum.websitetoolbox.com/post/Leaf-Rust-_Easy-Tell-6037427