The wallet import format has a checksum in it just like Bitcoin addresses. It is possible to quickly determine if a candidate "recovered" key is valid:
WIF checksum checking1 - Take the Wallet Import Format string
5HueCGU8rMjxEXxiPuD5BDku4MkFqeZyd4dZ1jvhTVqvbTLvyTJ
2 - Convert it to a byte string using Base58Check encoding
800C28FCA386C7A227600B2FE50B7CAE11EC86D3BF1FBE471BE89827E19D72AA1D507A5B8D
3 - is the beginning byte string 0x80? If not, invalid.
4 - Drop the last 4 checksum bytes from the byte string
800C28FCA386C7A227600B2FE50B7CAE11EC86D3BF1FBE471BE89827E19D72AA1D
5 - Perform SHA-256 hash on the shortened string
8147786C4D15106333BF278D71DADAF1079EF2D2440A4DDE37D747DED5403592
6 - Perform SHA-256 hash on result of SHA-256 hash
507A5B8DFED0FC6FE8801743720CEDEC06AA5C6FCA72B07C49964492FB98A714
7 - Take the first 4 bytes of the second SHA-256 hash, this is the checksum
507A5B8D
8 - Is #7 the same as the last 4 bytes of #2? If not, invalid.
If we have such a checking routine that can try hundreds of WIF key checksums per second, then all we need to do is feed different text possibilities into the validator logically. It may be possible to programmatically find the private key with several characters mistranscribed or missing:
- Starts with "5"? No? Add "5" if missing characters; substitute "5" if right length; add "5" and drop other characters if right length;
- Correct Length: substitute alternate upper/lower case for one character, check all positions for one character wrong, then iterate for increasing numbers of multiple incorrect cases, incorrect letters, etc;
- Missing one character? Try adding all Base58 characters at all positions.
Missing two characters? It becomes a slightly harder problem. Adding two characters in all possible positions = 3,956,064 possibilities (if the 5 at the start is correct). Single-threaded python does about 300,000 SHA256 hashes a second on my PC, so probably less than a minute to try all.
This might be an interesting programming project, but I wouldn't bother until it's actually going to recover some Bitcoins.