I like the concept, but I don't see it catching on in it's current configuration. It's the name really

, you need something catchy like the 22 Demonhawk or something. Strong imagery from a cool name will help it take off. For example, I plan to one day build a 6mm Catbird, just cause of the name. I won't even need to shoot it, I'll carry it up and down the firing line and try to bait people into asking me what it is, then I'll say "Oh this? This is my 6mm Catbird, it's like a 6-06 improved but better."
You need that kinda machismo for your Napoleonic 223 so that the AR owners will want to slogan their barrels and receivers with the name for the world to see. "Yeah, I thought about a 223 but it's really just too played out. I decided to go with the 22 DemonHawk instead. Uses less powder and shoots groups in the zero's when I do my part. I mean, this pearlescent night sky blue paint job was a critical part and it really pops with the stainless barrel. It's got a sweet black eagle with red eyes painted on it too. Cool, right?"
Pretty descriptive scenario there for ya. Not saying I want to build a pearlescent night sky blue AR... That would be insane... said my wife
Fun aside, just doing a simple ratio: 223 shoots a 75 at 2600 with the same powder charge at ~55ksi. Yours, at 3100, will be making at least 65ksi. Likely more though because velocity and pressure aren't linear. Just going to reiterate what others have said: proceed with caution. You are undoubtedly above the rated maximum pressure of your parent cartridge and exploring uncharted territory, safety-wise.
I would recommend you use a very nice micrometer and closely monitor the outer diameter at the 0.200 datum on your brass after each firing to see if that dimension is getting bigger. If it is, then you are swelling your chamber with the pressure. Most barrel's yield strength is above 85ksi, if everything is to specification. If the mill gave Shilen a bad batch or your barrel ended up in a softer condition, then your yield strength is lower. If your chamber pressure exceeds the yield strength, the barrel will stretch and fired brass will grow in size after each firing. That's if you're lucky. Unlucky, and you get to experience a bomb detonating inches from your face.
If you can share the water capacity of your cartridge, someone could run Quickload and get you a better guesstimate at what pressure you're at now.