under a lot of circumstances you're most likely just better off doing a market order, at least if we're talking 'small allocations' since the slippage won't be too bad and most exchanges don't really incentivize limit orders enough (they should receive rebates or at least pay no fees since they provide liquidity to the book in my opinion).
playing against the bots is in most circumstances just a waste of time, market makers usually reposition themselves only milliseconds after you initiate your order, so even if it looks like you're the top-bidder at a point in time, you're probably not, and the website just hasn't been able to refresh at a high enough rate for you to know that you're behind.
The advantage of being the maker of the price is that you would pay lesser compared to being a taker in some exchanges. In Bittrex, I believe the trading fee for maker and taker is just the same while in other exchanges, 0.15% fee for maker while 0.25% fee for the taker that's why some would put the bid or ask price higher or lower respectively to avoid paying the higher trading fee.
As for my trading style, I would just see the potential support of the coin and put the buy order there. I don't care if it is few pages away in the order book because if my speculation would turn out to be right then I would have bigger profit.