At this stage of the game, Archers are useless units except for happiness-maintaining and barb-quashing, just so you know.
Switched to organized religion but wish I hadn't. It costs 3 more gold per turn but only speeds up construction of National epic by 1 turn. I was hoping for much more. So sorry about that but we can switch back in 4 turns.
Have we spread our religion around in many cities? If so, I disagree with your analysis. To me, the extra hammers from Organised Religion are far more valuable than the minuscule amount of GPT lost.
nothing else is going on so lets think about our next tech because currency is due in 4.
Drama - can build theater
Feudalism - vassalage and serfdom civics
Theology - nothing we need
Music - free great artist
Philosophy - pacifism, a good civic for us
Paper - map trading
Archery - will need eventually, takes only 1 turn
Horse riding - will want eventually
Compass - explorers could be very useful
Construction - don't need catapults just yet
Machinery - will get from Aloha some day
I disagree with Theology having 'nothing we need'. Theocracy is an extremely powerful wartime civic. I'm not advocating that as our research path (although it's tempting if Christianity hasn't yet been founded), but just pointing that out.
Personally, I dislike Pacifism and favour Organised Religion and Theocracy, but perhaps that's just my playing style.
Horseback Riding is useless to us unless we actually want to BUILD Horse-requiring units. Camel Archers don't require Horses, so really we don't need it until at least Military Tradition (Cavalry).
When is the 'some day' for Machinery? Soon?
Construction should be a #1 priority tech if we ever enter any war. Catapults are invaluable units.
Compass is also handy if we've got Machinery and want to go for Optics (Caravels, to meet new people).
Are you sure the free Great Artist from Music hasn't already been claimed by another team?
Just a few thoughts for you, anyway.