I use Google to manage my email addresses associated with my domain name. I have written a simple script here to allow people to contact me from my website via the form on the page. It will send to almost any email address except for the ones I've created with Google Business. I have contacted my host in regard for it, and I have contacted Google, but neither have provided working solutions.
I considered setting up dummy emails through cPanel, directing the web form script to them, and then forwarding all the mail to my default email address managed with Google business, but Horde, Squirrel Mail, and other email interface softwares don't seem to include a forwarding feature.