Emails still not being sent through

I have posted on this problem once before and has been closed. You can find it Here.

I have tried to use the SMTP plug-in you guys recommended. I get it to work sometimes and I try to use it again and it doesn't work. No settings or files were changed between each try. The php mail() function does not work either.

I have also contacted my host (GoDaddy) and they tested the php formmailer and it worked fine on their end with the default scripts they provide. I also asked if there was anything blocking the emails (spam filter) and they said no. I also reloaded the default scripts and that didn't solve any issues there.

So I then proceeded to turn off all other plug-ins and revert the the default theme on the site. SMTP and the php() mail function still did not work after that.
The site is on a sub-domain and I tried to move around the scripts so that there was no issue with any URL/scripting path(s).

Submissions on the form are showing up on the site, the emails are just no getting sent out or are not getting delivered. I really think it is an issue with the GoDaddy server, but nothing apears wrong on their end so they can not do anything really to help.

I am at a dead end here. I do not want to mess too much with the php code or scripts myself. If it is possible, can I get someone to look at the site to help me with this issue. We are willing to hire out anyone at Gravity Forms that is willing to help with this issue.

I have contacted GoDaddy and they sent me this article. http://support.godaddy.com/help/article/951/what-email-or-relay-server-should-i-use-in-my-php-code?locale=en&ci=46061

Basically I need to set up the form to sent using their relay server. I may need some help with that. I do not know where to put this in the code.

They had also stated that there is NO spam block list. If there is a problem with the server itself I will have to contact them again after I determine that the "solution" above is working or not.

I was using the WP-Mail-SMTP . I have tried to put this relay address into this plug-in. The plugin said it worked but i actually never received that test email.

Just as an FYI I cannot get the normail PHP mail() function to work. So I have decided to use the WP-Mail-SMTP plug-in to send the mail for my forms.

I got the SMTP plugin to semi work using the relay server address GoDaddy gave me. The plug-in's debugging report says that the email was sent correctly but it is immediately marked as spam because (just guessing) there is no authentication with a username and password. So it got blocked and was not actually sent out.

I went back to trying to use a SMTP (smtpout.secureserver.net) relay. I also changed port numbers in the settings, that seemed to work. The only issue is that the email only allows 250 SMTP relays every 24 hours. That kind of limits how many user submissions can be sent. Using the actual relay server will allow 1000 relays every 24 hours. I would prefer to use that instead. So using the normal SMTP method is just a temporary fix for now.

I will call Godaddy for the (seems like 1000th) 100th time and ask if there is a username, password and port number for the relay-hosting.secureserver.net .

I was going to try to use a service called Post Mark App to send mail. I believe you guys (Gravitys Forms) uses this service to send your mail.
I haven't set it up yet because I do not want to edit my MX Records/DNS as they require. I am a little scared "uneducated" to know how to exactly do this and what effects will take place if I do.

If the above doesn't work for me it seems the only choices I have are to either move hosting companies. Or work some more with GO Daddy to try to resolve this issue.