I'm sorry to be callous, but at this point I feel little pity for someone still buying domains through GoDaddy. It is a terrible company with terrible policies, terrible management, and a horribly misogynistic marketing team. Why are you continuing to pay them rent on your domains?
You're not being callous at all. There are some companies that are known to frequently mistreat customers and have harmful policies. Any halfway savvy user (which OP appears to be) should know this and it's unfortunate when they get burned. It's even more unfortunate when a less technically literate person gets screwed by GoDaddy. Having said this, I'm super happy OP wrote this. We should not forget that yesterday's…
Since it was going to take a while (couple of days) and since the domain was going to expire in two days..I decided to renew the domain anyway with godaddy.com to try transfer it later.