You need to renew the domain name with Dream Host. WordPress.COM is not set up for incoming domain name transfers. Your domain name needs to be not registered with WordPress.COM.
You have domain mapping in place it looks like. When you renew the domain name registration the name servers can be pointed back to WordPress.COM and oursimplealaskanlife.com. should start working as soon as the changes migrate across the internet (changes start in a few hours but can take up to 24 to 72 hours for the internet to be updated)
Speed is very important at this point with the domain name registration renewal, some registrars have a short grace period then a penalty is charged.
If you try and just let the domain name revert to the wild and it can take up to 60 days for the domain name to be released and there is no guarantee that you can re-register the domain name and it might be sold at auction or snapped up by a domain name squatter and held for ransom.