Was Ananias a law-keeping Jew in Acts 22?
Yes. In Acts 22, Paul describes Ananias as a devout man according to the law, and the context identifies him as a law-keeping Jew. Even though he was up in Antioch, he remained law-keeping, reflecting the Jerusalem believers' continuing law mentality after Pentecost.
Les teaches that when Paul rehearses his conversion outside Damascus in Acts 22, he calls Ananias “a devout man after the law.” From that, Les concludes that even Ananias was a law-keeping Jew, even though he was up in Antioch. This fits the larger point that the believing Jews in Jerusalem still had a law mentality, contending with Peter about going to uncircumcised men and eating with them, because God had not yet revealed the secret of grace going to the Gentiles.
And one Ananias, a devout man according to the law, having a good report of all the Jews which dwelt there,