ASP.net and SMTP

Hello All,
i have a domain hosted at GoDaddy.com ,i am able to send only 250 emails per day from one email account ,if i want to send more than 250 emails i have to pay more.

Now before i could shift from other hosting provider to GoDaddy.com , i have a code that is written in ASP ,this code send emails to some 4000 email users per day per month.

I guess this code does use SMTP server settings for sending emails.
What should i do in order to avoid the limited relays(i.e. 250) apart from sending emails directly from webmail or paying more.

thanks in advance
Novice in ASP.net