Highly likely it's gone for good depending on how much you used the drive after formatting. If it was a fresh format and you never used the drive after and worked off a cloned image, you'd have better chances. You may be better off having someone that does digital forensics clone and see if they can recover. Someone that knows how to use tools like The Sleuth Kit will be able to recover it if it still exists. Autopsy is more user friendly if you want to try on your own:
http://www.sleuthkit.org/autopsy/ This uses PhotoRec, which does support searching for .dat headers.
Most likely, this large amount with Dogecoin will not be returned and access to them will be lost forever. This is the peculiarity of cryptocurrency. These are codes, numbers and, unfortunately, they are often lost for various reasons. Those who say that cryptocurrency is very convenient and reliable to use do not take into account how many cryptocurrencies are lost every year due to our mistakes and imprudence.