Jimmy,
The premise behind the TFP process is to use only what your pool needs and nothing else. So about the only thing we put in our pools, on a regular basis, is chlorine to sanitize the pool and muriatic acid to reduce pH. Doing this means not going to the pool store, never having to shock your pool on a weekly basis, never having your pool turn green, and never adding "stuff" to our pool that just makes the pool stores richer.
Following our process there are three way to add chlorine to your pool:
1. Manually add liquid chlorine (Just plain bleach you can buy anywhere).
2. Use a Stenner pump system which adds a little chlorine a number of times a day.
3. Convert to a Salt Water pool, where the salt is converted into chlorine by a SWCG.
I have a Salt Water pool. I love it. Very easy maintenance and we love the feel of the water.
All that said, the key is why you believe that a low chlorine system is necessary? Once you realize that chlorine is not "bad" then it makes little sense to reduce the one chemical in your pool that does the most to sanitize the water.
As far as your pump speed goes, it certainty makes sense to run your pump at whatever RPM your pool cleaner requires to operate correctly for the two hours you run your cleaner. My comment on running slower was for the majority of time your pump is running. I'd run it at as low of an RPM that you can that still allows your skimmers to work well. You really can't hurt anything. Set it for 1,000 RPM and run it for a couple of days and see how it works.
I am not familiar with whatever chemical system you currently are using. I'll see if I can get one of our chemical experts to chime in.
Thanks,
Jim R.