I am wondering if there are certain times of day where the Monero network is much busier (on average than others).
Is there any resource to help sort the number of transactions per block by the time of day?
This site has statistics and graphics on Monero transactions. It has 5 graphs, Transactions count (all), Transaction counts (per period), Transaction fees, Transaction outputs (sum), Transactions size (average). From these graphs you should be able to infer if the Monero network is much busier on certain times of the day.