Not sure what difference it actually made, but I deleted the initial .com to .org rewrite and the problem went away. I then added those lines back, but after the WordPress stuff and the problem did not come back.
My .htaccess now looks like:
# BEGIN WordPress
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
RewriteRule ^index\.php$ - [L]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule . /index.php [L]
</IfModule>
# END WordPress
# BEGIN Change .com to .org
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteCond %{HTTP_HOST} ^azwfk\.com$ [OR]
RewriteCond %{HTTP_HOST} ^www\.azwfk\.com$
RewriteRule ^/?$ "http\:\/\/www\.azwfk\.org" [R=301,L]
</IfModule>
# END Change .com to .org
