The Voting Rights Law of 1965 requires ID requirements that should cover citizenship requirements. In the US SC ruling referenced in Shelby County v. AG Holder, voting early was added, but also added were ID Requirements and requirements for counting votes........................... So all the House has to do is the same thing democrats did: amend the law to read all voting via written ballots and counting within 12 hours of an election. Or say 12 hours after polling places are closed...
Insofar as the Voting Rights Act pertains to the processes by which State Legislatures appoint Electors it is unconstitutional.