What is the burner? And what is the general design of the forge?
Is it all built exactly to a "known good" design, or have you built something that to the untrained eye looks not overly dissimilar to some other design that someone somewhere on the internet built?
TBH, there are so many variables that it's very difficult to give definite advice. If you've built to a "known good" design, your best bet is to contact the designer and find out whether they had the same problem and what was done to overcome it.
I've played with a few burners and (mostly Kaowool-lined) forges. A couple of general tips that I have picked up through personal experience (YMMV):
If you can't get it cool enough, you are probably running too lean. The "nearly closed" choke plate is probably still too wide open.
Usually, it's not getting hot enough for welding that's the concern. When I tell someone to fit a smaller gas jet to lean off the mixture, they look at me like I'm stupid. It usually works though.
For O1 HT temperatures, you are likely to need to run a yellow smoky flame. It may not even light at the correct mixture and you may find you have to start leaner and get the forge temperature up, then richen it off to get the temperature you want.
I may be teaching Granny how to suck eggs. If so, I apologize, but not everyone gets that there are 2 adjustments that control how hot a Naturally Aspirated gas forge runs.
First is the gas pressure. Everyone gets this. Not everyone gets the pressure: gas flow relationship though. The pressure and flow are related by a square law. To double the gas flow (and therefore the BTU input), the pressure needs to be increased by a factor of two squared: 4 times the pressure.
Second is the air:fuel ratio. This is a bit more complex. I found a website that will calculate the adiabatic flame temperature for gas:air mixtures and plotted the results. It's highly theoretical (rough translation: it's not reality), but it does show the basic shape of the curve. Top trace is in degF, bottom one in degC.
Left of the chart is rich (reducing), right is lean (Oxidizing).
A picture of one of my forges at 797 degC (1467 degF) showing the yellow flame. I was trying for 800 degC (1472 degF) in a general-purpose forge that would also reach welding temperature.
In the UK, O1 is readily available as Ground Flat Stock from engineers suppliers. Anything else is much harder to find. As a result, it gets used a lot more over here than it probably should, given the need to soak at a constant temperature.
I built another forge specifically for HT with O1 and asked an aspiring knifemaker to test it for me. He made a 4-minute video. It seems a lot longer to me, but it's never going to be thrilling, making a video of the temperature not changing.
816 degC is 1500.8 degF 818 degC is 1504.4 degF. He'd put the blade in with the forge at about 700 degC (1292 degF) and ramped it up to 816 degC with the mixture adjustment.
Presetting the temperature before putting in the workpiece would have allowed a more stable temperature and is what I had in mind when I built the forge. I think he was looking ahead to Stainless Steels and practising ramp-and-soak on the cheap stuff. I'm quite impressed that the control is good enough to do it.
https://www.youtube.com/watch?v=1xvWkXBXY6U&feature=youtu.be