It seems like you're trying most of the right things. Unless there is an air gap between then, adding another layer of radiant barrier bubblewrap probably won't help much. It has almost no insulating value, the only thing it really helps with is reflecting rays that penetrate the cover back out, which is vital. It also, unfortunately, keeps heat generated inside there. One thing you might consider is trying the approach of using comforters on a small portion of the roof, then using an infrared thermometer or leak detector gun to compare the temperatures of that portion and the rest. The guns can be used to pinpoint places where air is escaping.
I can totally empathize with wanting to keep the crown ring looking good. It's definitely the prettiest thing in the yurt. Right now it's a huge pain for me to ventilate because to get from sealed to open I have to wrestle my inner plug out of the way *and* go outside to fold over the roof cover. I have plans for something more like a
with a lift, and a fan in the center, but the need to keep that area looking nice is definitely slowing me down.
Because of this, and the fact that I don't have any screened windows or doorways yet (mosquitos are murder here right now) I've been using the AC at night even though the outside temperature is very comfortable for sleeping. It feels like a betrayal of the entire idea of being more connected to nature and less wasteful of energy. I have a bug screen for the front door coming in today, and I'll be making one for the roof ring also. This should allow me to experiment with leaving the yurt open during the day to prevent heat buildup.
One that that was wasteful but felt really good was running the AC with the roof hole cracked. This felt a lot less stuffy than running the AC with a full seal.
One thing I've never understood about portable AC units. They pull air only from inside the room, but they push air back into the room *and* outside the room. Doesn't that mean that the air pressure in the room should be constantly decreasing? Either that or air is flowing in from somewhere else.
I usually try to escape to Portland, Oregon for the hottest part of the summer, so I don't know if I'll manage to get the radiant barrier installed before I leave. If I do I might do some before-and-after testing and report back.
I think, in general, that it's likely that a cooling solution that doesn't take advantage of the natural airflow out the roof ring may not work. It might be necessary to at least keep the
cracked and run the AC at the same time. It would be very easy to compare both methods and see the result.
This couple put a fan that fits directly inside the roof ring:
Fouch-o-matic Off Grid FAQ page | Esther Emery
I'm planning on doing something similar.
Some people are having success using these with Tiny Houses:
Ductless Mini-Split Air Conditioners | Department of Energy
Another idea I like is a some kind of little tower or cover that floats a few feet above the roof ring to keep out direct sunlight, but still allows in light and airflow from the sides. One idea that Won't Go Away is mirroring the underside so that you can still see nature (and maybe yourself) through the hole.
Scott