Your site is live right now and you want to transfer it to another account hosted in GoDaddy.com. You have configured the site in new account and want to test it, but you can not directly update the DNS records without testing. You don't want to purchase a static IP for this. So, there should be a way to test your site before updating DNS records.
One of the solution is the use hosts entries. That will help you to access your domain point to the new IP only for you. That way, when other people accesses www.yoursite.com, it will be served from original site, but because of the host entry, when you try to access www.yoursite.com it will be served from the new server.
I found the detailed instruction here: http://help.godaddy.com/article/3354