For the recovery part, we implemented the falcon recovery version in solidity, here:
ETHFALCON/src/ZKNOX_falconrec.sol at fa358d808952ee6b35fb9239f5761a0b53b705f8 · ZKNoxHQ/ETHFALCON · GitHub.
This would require to modify the way to hash a public key of course. For performances the value of the hash of public key in the ntt domain is chosen here. (avoiding a NTTinv operation).