I see a few things that might be giving you fits.
Rice hulls are added to the grain to help replace husks that are missing because your using wheat or rye, those adjusts don't have hulls. The concept isn't to recirculate faster per se just to let you recirculate wort in a thin (less filter material) bed that will be a bit gummy.
You add them at the same time you dough in. Then you need to let everything settle. You want everything to hydrate and you want the bed to settle a bit. I usually let it settle for 10-20 min with pumps off . So by adding them before the grain and recirculating right away you basically sucked them into your coil.
Once you've doughed in you want to slowly open your valve to allow a slow gentle recirculation. The benefit of a herms coil is temp control on the mash bed and the ability to ramp temps. Clear wort is a byproduct of recirculation but not the end goal.
I've had rice hulls get past the false bottom and clog the herms coil at the compression fittings. It happened to me at big brew years ago. I was using a new Blichmann mash tun with their false bottom. I overslept and wanted to catch up to the rest of the crew at the brew club. We were making a hefe and I was intent on doing a step mash with 40% wheat and I was pushing the limits of my system and my experience. So I was pushing my pump trying to ramp temps faster and the whole thing just slowed down to a trickle. I shut it down stirred the mash added more rice hulls and tried again. No luck I had to slowly ramp my temps by infusion and I was cursing the new false bottom. As I was breaking everything apart for cleaning I discovered the rice hulls clogging up the entrance to the coil. It wasn't the false bottom it was my design and my desire to push it. I'd suspect you have a 3/8" coil or you may have a smaller opening in the compression fitting than the actual coil interior diameter. This was a choke point in my first herms set up. I replaced the compression fittings and coil in a rebuild a few months later. The second build was a 1/2" coil and high flow 1/2" compression fittings. I'm just speculating on the size of your fittings and coil but it's worth a look.
I see no reason to run rice hulls through a mill. Conditioning grain will improve your husk retention and that can allow you to crush a bit finer and improve your efficiency a bit. I did that for a bit before I built a mill station. Once I went to a three roller mill with a motor my crush improved so much that I've not needed to condition or use rice hulls at all. One of my last brews was 50% unmalted wheat in a turbid mash for a lambic. Unmalted wheat is very soft and gummy as it still contains moisture. I got 90%+ efficiency on that batch and every batch since. I've actually had to recalibrate my mash and brew house efficiency since going to the new mill. I added about 10 points to both number solely from improved crush.
So you can slow your flow. (Free)
Add the hulls when you dough in not before. (Small cost for the hulls)
Let your bed settle before you recirculate (free)
Condition your grain to retain more whole husks ( small cost for a spray bottle)
Check your compression fittings diameter and coil diameter ( could be $40 or $200)
Buy a new mill ($$$$)
Hope this gives you a few ideas to troubleshoot your problem.
Cheers