All are good suggestions so far. I ended up choosing a master volume with separate tone controls for each pos on a guitar for my brother that has four knobs and those exact PUP's. It incorporated 2 P/P pots. One for the HOoP option (sounds really sweet and fat with a 2nF cap). The other P/P switches to the Q-tone for all tone knobs. It involved lots of wires. I wouldn't repeat that configuration.

Not sure if you can route separate tone knobs with an LP toggle switch. We used a 6 pos rotary switch where 2 pos's bypass the TN knobs (with a 500k resistor wired over to keep the load even), and a cap and resistor for the bypassed TN bridge pos for a fixed fat lead tone. Some simple variation of that might be useful. Wiring the rotary switch was a major hassle with that setup.

Maybe just wire the Q-tone to the bridge PUP, and use standard TN's for the other positions if you can. Point is to have separate TN's for each pos, so you can set each pos up in advance, rather than have to adjust knobs when you switch to the combined pos. You can then choose individual caps for each pos depending on what you want. I have some suggested values for each. A HOoP switch wouldn't be hard to do at all with this setup.