Well I see the following possibilities:
A) Go for Republic, revolt now and revolt again after the first or second war.
The Good:
No Despotoic GA
2100 Beakers gained
The Bad:
We are not religious, so thats potentially 16 turn Anarchy
These 2100 Beakers would not be needed anyway.
My2c: Overall this doesn't sound like a very smart thing to do.
B) Go for republic and use as trade:
The Good:
2100 Beakers gained
The Bad:
These 2100 Beakers would not be needed anyway.
My2c: Sounds not like a good plan 2.
C) Choose Poly, and selfresearch Monarchy
The Good:
fastest way to Monarchy
The Bad:
Only 900 beakers
Even less when we consider, that some AI must be short before breaking through
My2c: Its an Option, but a painful one.
D) Choose Lit, wait for Poly and research Monarchy
The Good:
Faster research to Monarchy because we have Libs
The Bad:
Only 750 beakers
We don't have the shields to build Horses and Libs, so its probably wasted
My2c: I Dont like this one.
E) Choose Construction, wait for Poly and research Monarchy
The Good:
at least 1500 Beakers
We can immediately gobble up everything the AI has lying around in Techs, and might still have something to trade for Poly.
The Bad:
Another 30+ turns under despotic government, making a despotic GA more likely
My2c: Still looks like the best of the bunch to me
F)Delay and pray
The Good:
If it works we get Monarchy in a few turns.
The Bad:
If it does not work we lost the Philo freebie. Also we are not religious, so praying might not be our best bet.
My2c: High risk strategy
After writing it all down, I tend towards just choosing Construction and save money until someone finds Poly. But iw ould find another day to give the other people a chance to chime in.