I removed the grounds from the coils and nothing changed. I find it hard to believe that I lost both of them at once.
I now believe my anti-afterfire solenoid went out. Testing in place, it seems to do nothing, no clicks, etc. I will be pulling it tomorrow to do a proper bench test.
In my search for more information, I found a great electrical diagram in "B&S Customer Education, Engine Alternator Replacement Guide" It is a PDF, and can be found at http://www.google.com/url?sa=t&source=web&cd=6&ved=0CCwQFjAF&url=http%3A%2F%2Fwww4.briggsandstratton.com%2Fmiscpdfs%2FRNT%2Falternator_replacement.pdf&ei=usBtTJWmJMOC8gb_h_XkCw&usg=AFQjCNESLLgE6aln2zyf7DnyoTbQREFj3g
~Josh
August 2010