Why did you choose to use a web wallet to store your doge on instead of a software or even a hardware one? Obviously you see the problem with web wallets: You're at the mercy of whoever is behind the wallet, even if they don't have access to your private keys. They can implement stuff like this to lock you out, though I'm not sure why they'd do that if they can't steal anything from you. Do you have control of your private keys with this particular wallet?
I am doing a lot of activism and my devices and online appearance constantly get tampered with. Emails disappearing, files vanishing, usb sticks stolen etc.
My security protocol was to go to a friends place, plug a tails dongle and access the wallet via tor, having my credentials memorized.
That worked pretty well so far.
But no, i do not have anything else except the credentials for my wallet. I think I do have a backup of my operating system back when i set up the wallet though.
Anyway, maybe somebody has a solution, the only thing i found on this issue so far was a thread on the dogecoin reddit.