That's a good description of the "problem" or dilemma. Although I think that the market is so big, that you won't be able to find cheap EOS at the final minutes of the day.
I mean, if you go there and there isn't much on the table, you would buy a lot. Buying a lot makes the price go up. And believe me, the market is sooo big, that there will be a couple hundres (if not thousands) of people waiting to the end of the 23 hours. You just need 100people there, and they go all in and the price stabilizes right up to the market price.