Is Monarchy still unknown on our continent? If so, we should be able to trade now it's not a French monopoly, and certainly once we have Republic as bait.
No, Monarchy is known by all. Our tech trade possibilities are:
Portugal even (war)
Iros: are up Currency, Republic, Monarchy.
Persia: are up Currency, Republic, Monarchy, Construction (and Feudalism).
Vikes: are up Currency, Republic, Monarchy.
France: up Monarchy and Construction, down Lit.
Inca: are up Monarchy, down Code of Laws and Lit.
America: are up Monarchy, down Writing and Math (and following techs).
The other continent does not yet have Republic; unfortunately they also don't have much else we want.
I do see one fairly easy trade scenario, that involves giving France Republic. I don't think the Inca or Americans will be able to buy it for a little while though.
1. Trade Republic to France for Construction (+ gold; at present they have 2gpt+20g for Lit, which I'm not inclined to give them). They want Lit + 8 gpt + all 85 of our gold for Construction right now.
2. Trade Vikes Construction for Currency. Should be doable, I'd think.
This would get us to the middle ages. We could probably use Construction to rope the Iroquois into an alliance vs. Persia.