In the previous threads on this in 2010/11 I think we decided on Consul (with Vice/Deputy/Sub- depending on how the exective powers are divided) as replacement for the President title.
As said Senate seems inevitable based on the GR vogue.
For a HoR replacement no one name seemed to dominate - Commons, Popular House/Chamber, Assembly, etc/
Are there others from British (mainland or colonial) history that would be used? I believe "Chancellor" was used in British universities, for instance. What about "Steward"?
Steward doesn't really make sense in this context unless it's for a role equivalent to the vice-president, who takes over when the president isn't there, and it hadn't been used in England/Britain as a permanent position since 1421 anyway. Words like Lieutenant, Deputy or Steadholder might instead be used in this role.
That's why it was between (...). To illustrate where Protector would derive from. How did the American colonies of the time view Cromwell?They wouldn't use Lord Protector. Consul or Tribune or something like that is plausible though.
From Greek, there's also the Ekklessia. Suitable as it was the popular assembly of Athens.