Ok, I played through until GLib with my plan. I had problems getting two slave revolts which naturally set back my results (and I had no way to fight anything to make them different).
I had Literature on turn 93 and GLib on turn 101. Since I lost two turns' worth of capital research, as well as 10 gp to put down one revolt (one I chanced and won), that means I would have had Lit on 91 at worst, possibly 90. Pyramids would have come on turn 87 if I hadn't been over eager with workers, so I was one worker turn short of chopping the last forest on turn 86. That shouldn't be a problem in the real game.
I had Math 68, Mysticism 70, Poly74, Aesth 85, Lit 90. Your build list looks very similar. Btw, I never saw any barbs.
Capital: Lhouse 56, library 57, worker(3) 60, axe 66, settler 67, baray 76, galley 79, worker(4) 83, quite a few turns on Hanging Gardens, then switch to GLib, finish 97.
If I normalize my numbers to disregard the slave revolts: In my capitol I built WB (52), Library (54, whipped 2 on 53), Lighthouse (58), galley prebuild, Settler (64, whipped 4 on 63), Worker (65 using overflow), Galley completed (67), Axeman (71), galley prebuild, Baray (74, whipped 4 on 73), Galley #2 (79), building Great Lighthouse until turn 91 (or 90), Great Library (98?)
Research (normalized) was Sailing (54), Masonry (58), Maths (68), Aesthetics (80), Myst (81), Poly (84), Literature (91).
To compare, it's obvious that I had more hammers than Xc, as expected with the higher-yield whips. I built one galley more by turn 79, other than that we were equal, with some flips back and forth. I'm a bit weary of delaying the Axe until 71, but we could always slot it in before the first galley (at the expense of later Marble) if barbies look to become a problem.
When I finished GLib in the capitol I was 2 turns from Parthenon in Hari. A problem there is that the Marble isn't connected in time to start it, but we can use the interrim to grow a bit (we're in Representation by then). I was also a few turns (6?) from building ToA in the third town, just for fun, and that after building Granary, LH and Library first.
Worker moves were done after Xc's fashion, chopping three forests on turn 69 (would have been 68 easily) and settling the third town that turn. I had the Dumbos connected turn 75 (would have been 74), and was only 2 turns late of having all hills mined in time for Hari's growth to 5 on turn 75. We should formalize these moves to ensure that we get the optimal sequence here.