Your's will be a superb forge, and will do a great job in any forging task from a necker to a katana. You can make damascus billets in it, too.
HT requires very even heating and control of that heat.
Adding a box tube to the top of the chamber as suggested won't really work, as it will go across the chamber, and still have gradients.
It would also limit the blade size to a very, very, short knife.
A horizontal forge will allow a better evenness of heat, and with a good thick refractory lining can be held to a pretty close temperature.
A muffle tube works well in a 12" horizontal forge, but if you used an 8" pipe and 2" wool, plus the refractory, the chamber will only be 3", so I would just make the floor flat, and set the knife in once the forge was fully heat soaked ( 15 minutes running time). Two smaller burners are a good idea if a HT forge will be longer than 14". In a HT forge, it isn't how hot the burners can run, it is how even they can heat the forge to 1500-1600°. 3/4" blown burners or a manifold with several burner ports, are/is very simple to make.
Such a forge is a good candidate for PID control. See the PID Controlled Forge sticky.
Now, if you really want to do simple HT in that forge, here is what I did on a 16" tall, 12" wide vertical forge I built for a friend. IIRC, I may have posted some photos a few years back, so I'll look for them later on. With the ends in place, it was about a 12" chamber depth and about 7" chamber width. The ports were as yours is made, but I do not put a shelf all the way across. I just have the ledge at the port going in to match the refractory depth.
I made two tops.
One with a centered 1/2" stainless pipe sticking out 1.5" on the inside, with the inside end closed. It was placed so it still allowed clearance for the blade to go in and out without being in the way, but could read the temperature of the chamber at the approximate place where the blade was being heated. This TC isn't really necessary for forging, but since the forge was PID controlled, it was there. The 1/2" pipe stuck out about 4" on the outside. This was the top for forging, and the TC was stuck down the pipe, sitting solidly against the closed end. The open end of the pipe was packed with K-wool around the TC to hold in heat for a better reading. Of course, the TC leads had the ceramic spacers on them.
Then I made a second top, with a 2.5" piece of heavy walled stainless pipe that extended to within 1/2" of the forge bottom. The bottom of this tube had a disc welded on it to close the tube. This was the HT top. It had a plug made from fire brick to fit the top of the tube, which was flush with the outside of the top. Both were built exactly like the one you are doing otherwise ( except they had tabs instead of a hinge). In doing HT, the TC was placed in the tube about half way down. The TC wire leads were bent at the top so it stayed at that depth. It was held there by the fire brick cap, which was notched to fit it. After the forge came up to heat ( PID control), and was at the target temp for ten or fifteen minutes, the cap was removed, and the blade was lowered in the tube . There is a piece of 16 gauge stainless wire twisted through the tang hole to lift it by. Bend this wire at 90° at the top to hold the blade just shy of the bottom of the HT tube. The plug was replaced, and once the temp was back to target the timer was set. When ready for quench, the cap was lifted and the blade withdrawn and quenched by grabbing the wire with gloved hands or short HT tongs/pliers. There is no problem with the blade sitting against the TC in the tube if that happens...actuially, that would be a good thing.
This system only allowed 7-10" length blades to be done, but that was all the person needed it for.