Quest for strong point light LED

Hello everyone, this my first post here. I am a complete newbie in this forum and am looking for your insights on single LEDs. I looked through some previous posts, but did not see any that would address my question. My apologies if I overlooked a thread. If this has been discussed in the past, I would be grateful if you pointed me to that post.

I am an artist working on a live performance projected on the inside of a dome with light and shadow. For this project it is important to have super crisp shadow. To find out if a light is good, we usually do the “arm hair test. If you hold your light source about 15-50 cm away from your arm and you can clearly see the hair on the back of your arms or hands at 10 m away, then the light source will work for our purposes. My best light so far has been a Nu-Flare Rebel 90 LED, 210 lumens, (3rd generation Luxeon Rebel 90 LED). However, it is too weak for the distance we have to cover. The light becomes greyish and does not render colours with gels or dichroics well.
We tried a lot of different light sources. We went through quite a few flash lights (we always remove the optics) and light bulbs. An LED Lenser flashlight was recommended by a friend but this did not give us the crispness we are aiming for.

So, I built my own wired light with a Cree XLamp XP-L-High Density LED star (warm white 3000K). The light quality is excellent. I have not tested it in the dome yet, but just creating shadows on a white wall about 2-5m away from the projection surface shows me, it is not going to work as hoped. It produces an extra shadow like a ghost (not sure what the technical term is) and is a bit too fuzzy. It barely passes the “arm hair test.” The light is fantastic if the object that throws the shadow is close to the projection surface, but that is not our challenge. The challenge is a crisp shadow when the light source and object are close together and the projection surface is far away.

Right now, I am thinking it may be the actual size of the die itself that is causing issues. But I am not sure.

Does anyone here have an idea if there is a powerful light out there, that is similar to the 3rd generation Luxeon Rebel 90 LED, but much stronger?

The smaller the LED die, the better the LED approximates a point source of light. Consider the OSRAM W1 or W2 or the Luminus SST-20. An up and coming technology, laser excited phosphor (LEP) offers an even more distinct beam. Flashlights with LEP emitters include Acebeam W10 and Acebeam W30 , the WellTool W3 .

Matt Smith’s W30 review (video)

Thank you, Photonica! I searched for these emitters and found them at Mouser. The die is really small, which should be great. It appears though that their lumen is not very high. The Luminus are below my current one and the Osram only goes up to 390, compared to the 210 I have. I wish there was something small but more powerful out there, but maybe that is an insurmountable contradiction.
I checked out the review of the LEP emitters. What amazing throw! Not sure they would work for my purposes. Wish I could test one, but they are a bit pricey to buy just to test. Will maybe give the Osram a try.