If they have Hank, he has to go down first or you have to isolate your target. Either works equally well, but Hank is your priority target #1. After that, do the medic, or the trapper if you need to bring down the dome. Again, try and isolate your target. I ALWAYS fight at S1, and sometimes win the game right there. Keep your cool, and pick your targets. Don’t go for the kill, just incap. IF they chase you, lure them past nomads, armadons, tyrants, megamouths, anything that can make their life hell. BTW, if they get caught in a carnivorous plant, you can pummel then as much as you like until the plant eats 'em. You also need to pick your arenas. Dangerous wildlife is a plus. Terrain which you can use to hide or break LoS is great. The two together are godly.
And finally? Lay false trails, then sneak back around. It does wonders, especially if you make it look like you’ve committed to going in one direction and then go in the other. Break their line of sight. Sneak when they’re nearby, and hide in a bush if you have to (If you do this, don’t move until they break LoS). They will usually ignore Daisy in my experience to follow your false tracks. Once they’ve committed to following them, you have an opportunity to eat up.