Saw this earlier today but just now getting a chance to reply... been stuck in export hell. The 13900K caused me a lot of panic when I built my workstation last summer. I ended up trying three different coolers because I just couldnt trust water around my storage drives. One thing people overlook is that the 13900K actually bends slightly in the socket because of the factory mounting bracket. I found that installing a Thermal Grizzly Contact Frame for LGA1700 is basically mandatory for air cooling an i9. It ensures the cold plate actually touches the whole chip properly. Here are a few things I learned from my testing:

• The DeepCool Assassin IV 7 Heat Pipe Air Cooler is a total tank. It is probably the most modern alternative to the Noctua and it handles the heat spikes surprisingly well. The build quality is very solid.
• If you go with the be quiet! Dark Rock Pro 5 Dual Tower Cooler, just know the installation is way easier than the older version 4, but it is super wide. You gotta check your RAM clearance first or the front fan wont fit properly.
• High-end fans like on the Noctua NH-D15 chromax.black Dual-Tower CPU Cooler dont just cool better; they stay balanced for years. Budget fans often start rattling after 18 months of heavy use. Quick tips:
• Use a contact frame to fix the CPU bending issue.
• Apply a slight undervolt in the BIOS to keep the wattage under 250W. It is totally doable on air, but you gotta be methodical about it.

Honestly, the data doesnt lie and you're right to be skeptical. Ive spent way too much time looking at thermal graphs for the 13900K and it is basically a furnace. To answer you directly... you will likely still hit 95-100c during a full render unless you set power limits in the BIOS.

• Thermalright Phantom Spirit 120 SE 7 Heatpipes Dual Tower: This one actually wins because of the seven heatpipes and better baseplate contact for LGA1700. Its way cheaper but the manufacturing process is just super efficient now.
• Noctua NH-D15 Dual Tower 140mm: Its the gold standard for a reason, specifically for the high quality fans and mounting. But it only has 6 heatpipes. For these newer 13th gen chips, it actually falls slightly behind newer designs in raw thermal dissipation. If youre rendering in a hot Phoenix room, youll definitely hit the thermal ceiling regardless of the cooler. My pick is the Phantom Spirit tho.

Regarding what #2 said about 'Saw this earlier today but just now getting...'

• I am in the exact same boat as you. I have been obsessing over fin density and mounting pressure data for weeks and still cant pull the trigger. Are you planning on running any power limits or undervolting the vcore? Just trying to figure out if we actually need that much headroom or if stock is just impossible on air.

Been thinking about your setup all day! Honestly, trying to tame a 13900K on air is such a wild ride. I went through this exact stress last year, and I finally settled on the Noctua NH-U12A chromax.black because the mounting pressure is just absolute perfection. People sleep on the U12A, but the build quality is insane and it fits way easier than those massive dual-tower monsters that block your RAM slots! I was hitting thermal limits constantly until I paired it with a contact frame. If you really want to stay away from AIOs, you have to prioritize airflow in your case. I swapped all my fans to Noctua NF-A12x25 PWM and it made a massive difference in pushing hot air out of my cramped desk area. It's totally doable, just don't expect miracles without a little BIOS tweaking. You got this, building is half the fun!

Jumping in here because I've spent way too many hours tweaking these high-end chips lately. Regarding what #3 said about undervolting the vcore, that is basically the only way you're staying under 90c in Phoenix during a heavy render... trust me on that one. Over the years I've tried many setups and for these i9s, you gotta look at pure mass. The DeepCool Assassin IV CPU Air Cooler is a total tank. In my experience, it's super quiet and has a really clean look, though it is huge so definitely check your RAM clearance. If you want something that will literally never fail you, the Noctua NH-U12A chromax.black is incredible. It uses their best fans and punches way above its weight class. I put one in a production rig a while back and it hasn't skipped a beat. Tbh the reliability of air is worth the few degrees you lose vs a liquid cooler. In my experience, the secret is just not letting the motherboard dump unlimited power into the socket. Stick to the Intel spec limits. TL;DR: Grab a beefy brick like the Assassin IV, use that contact frame mentioned earlier, and cap your power limits. You'll hit your 5-year goal easily without any leaks to worry about.