Threshold Encryption using BLS?

At Skale, we need to do threshold encryption in our PoS chains in order to provide protections against front running (essentially a transaction is submitted to the chain in encrypted form, and then decrypted after it has been committed.

We already have BLS signatures implemented in a way compatible to precompiles from ETH 1.0. I am looking for a spec to implement threshold encrypt/decrypt using the same primitives and pairing used in BLS signatures.

Years have passed but for future travellers this scheme seems relevant to the question. Using something like this anyone can encrypt their transactions and a threshold of peers is required to decrypt those transactions and it all happens with the BLS machinery.