I prefer vet wrap or co wrap, rather than duct tape. The tape is really hard to get off, and sticky, and the co wrap works really well, adheres to itself rather than anything else, and stretches. I use the co wrap at tractor supply in the horse section, it's 4" wide and you can cut strips the width and length you need, so a roll goes a long way. It does a very good job of keeping the foot clean and dry. If you use a hydrocolloid bandage there is no need for gauze, the dressing seals itself, it will stick to the edges but not to the wound itself. What ever you wrap with, make sure it's not too tight, just tight enough to hold everything in place.
I've not found tricide neo to be very effective on deep or large bumblefoot cases, just my experience. It worked for some early, shallow, very small lesions. Likewise amoxicillin. That may help with secondary infection, from digging around, but I've not found it very helpful in clearing up the actual bumblefoot itself, which is usually staph. I did do a long term treatment with a combination of SMZ-TMP and clindamycin for suspected osteomylitis in my roo. I did not have the advantage of an xray, so this was just based on what I was seeing. That required close attention and tweaking the dosing to not fry his kidneys and liver. He lived for years afterward and was fine til dying of old age. For tricide vs sugardine, my choice would be sugardine just based on my own experience. If you want to try the tricide, then I would do that on it's own, see if it helps or not. If it doesn't, then stop that and try the sugardine. Your choice. The tricide is also not a 'quick' fix, and I found the daily soakings to be too time consuming with everything else I have going on. For me the cleaning, sugardine, and rewrapping was just easier to work into my day consistently. But, do what works for you. Sadly, bumblefoot, especially when it gets large and deep, can be a longer process to get healed. Patience and persistence pays off.