Every option you mentioned tripod, bipod, and shooting sticks has their pros and cons. I used bipods for shooting coyotes for 20+ years and killed a lot of coyotes. They are better for sitting or laying.
What bipods and shooting sticks tend not to do well is allow rotation. Some allow a little vertical or horizontal movement, but you end up typically adjusting the legs to move.
The majority of night hunters stand. Having a tripod allows a person to rotate 360 without moving the tripod. It is much more stable than any bipods extended to standing lengths. I am one of the exceptions, I sit at night almost 100% of the time. Even sitting, having a tripod allows me a lot more freedom of movement, and I can choose to stand if I want to. As mentioned, a good carbon fiber tripod doesn't weigh that much, and should be fairly easy to deploy.
Once I switched to a tripod, it would be extremely difficult to go back to a bipod or shooting sticks for night time coyote hunting. One other thing to mention is at night you are either using a scanner or scanning with the rifle. If scanning with the rifle, again you would need a tripod. If using a scanner, you want the gun to be fully supported and ready for action while you scan. The tripod holds the gun in whatever position you want.