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I am familiar with GoDaddy, and wan't excited using them for my sql database it was even limited I believe in uploading my sql files from my prior hosting company, was going to have to break the files up into smaller ones. I personally have been happy with bluehost.com service. Nothing wrong with GoDaddy either but like you said, you don't get access to some helpful tools and info.
Note: They still should be able to confirm if the sql servers are having heavy loads on them to help you in confirming your problem.
Are you using cache options in your site setup?
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