What you need to implement is called a web job (cron job in Go Daddy). I'm not sure if Go Daddy allows exe based jobs however.
Scheduling Tasks with Plesk Shared Hosting | Windows Hosting (Plesk) - GoDaddy Help[
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I highly advise using a cloud service that is more suitable for .Net based applications, like Azure. With Azure you can schedule an exe to run at a set interval, and you can just upload this exe and it will share the same app configuration settings as your website. It would cost a bit more than GoDaddy, but you get many more features and everything is handed to you on a silver platter.
When you do make this web job, do not create a windows service, create a console application.
Good Luck!
Link to azure
Microsoft Azure: Cloud Computing Platform[
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