Hey Jim, why do you say this ? "I also think it makes more sense to inject chlorine a little at a time over a longer period of time vs. a whole lot of chlorine all at once." Thanks....
Ooh, ooh, me, me. I know this one. See if I can type faster than Jim!
The ideal chemical balance for a pool is one that is constant, all day, every day. Impossible to achieve, but something to shoot for, if you can. Sun and bather load will use chlorine throughout the day. Ideally, you want to replace it as it is used, so that your pool always has the same amount of available chlorine (FC). That way, you never have too much or too little of chlorine in your water.
If you add just once a day, you have to put in more than your pool needs, so that as it is used up, you end up with no less than your pool needs by the end of the cycle. So at the beginning of the cycle you have this high amount of chlorine, and at the end of the cycle you have a much lower amount. When you have more chlorine than your pool needs, it will burn off faster (wasting money). When you have less, you're risk of an algae problem is slightly higher. With an even amount all day, you have neither issue.
Short answer: you'll need less chlorine, and use less chlorine, if you dose small amounts all day long.
It's your pool, and your chlorine, you can run it any way you choose. You can certainly keep your pool sanitized the way you propose. But what everyone is pointing out, you've got the makings for an excellent system, but your short-changing yourself by running it the way you propose. It's better for your pool, and easier for you, to put the Stenner on a timer and automate the whole process. Otherwise, it's like buying a nice car to get your family around in, but pushing it from place to place!