Howdy all need some help with a strat I've been beating my head into for awhile now. Trying to get a cultural victory with Byzantium via full piety rush to grab 3 religious buildings + sacred sites. Even with about as great a start as I can get, I'm still falling way behind. Doesn't help runaway civs aren't just running away, but pulling a 7sec 1/4mi. My most recent attempt had Hiawatha 2 eras ahead of me and 1 ahead of about 3 others. I'm guessing my build queue needs revision or something, but I can't help but to grab Great Library and Oracle
Build queue:
scout, monument, shrine, GL, Oracle, NC
I know its pretty terrible but I feel I need to play catch up to offset the piety start. Also I'm never really too certain when to slip in a worker or a new settler.
This is vs King, Large map, standard time, random map
Viable strat, or not so much? Comments, suggestions appreciated.

Build queue:
scout, monument, shrine, GL, Oracle, NC
I know its pretty terrible but I feel I need to play catch up to offset the piety start. Also I'm never really too certain when to slip in a worker or a new settler.
This is vs King, Large map, standard time, random map
Viable strat, or not so much? Comments, suggestions appreciated.