Changing 50% of the water once a week, the most nutrients can possibly build up is 2x whatever is dosed between water changes. This is assuming zero plant uptake.
Changing 30% of the water, the most that can build up is 3x the amounts dosed between water changes.
Changing 10% of the water every day, would essentially be like doing no water changes, and dosing 10% less than you're actually doing.
So as far as regulating the nutrient build up, this is not a good plan in conjunction with EI. There would be a never ending rise in nutrients.
Small frequent water changes do have their advantage. A constant supply of fresh new water is good for the whole system. Plants and fish love it. Algae hates it.
I remember an old thread on Barr Report talking about if you do a 10% water change every day you'll never have bba. Dont think enough people tried it out to really put the theory to the test, but it had some merit imo. Digressing a little...
If 10-15% daily water change is the only option, then you should find a dosing routine that pretty much targets what the plants use, or just a tad above.
How much the plants use will depend on your individual set up. How many plants and what kind, how much light intensity - that sort of thing.
You'll have to play it by ear for a while to find the sweet spot. if I had to guess, something like 1/4 EI 2x week might be a good place to start.
Then keep an eye on nitrate and/or phosphate levels as a proxy for what the tank is actually using. I say these two because they are easy to test for.
Test maybe once a week for a few weeks. If the levels continue to climb, reduce the dosing. If the levels get too low, increase the dosing.
Somebody else may have a better solution for you. But that's the only way I can think of to run a "high tech" tank with that kind of WC routine.
Also you may want to look into pps-pro dosing. It does sort of the same thing, but there are still water changes involved at certain times. I believe when TDS reaches a certain point, which has never made logical sense to me, but you may find some of the theory useful to apply in your case.
TL;DR - Find a way to do weekly 50% water changes