All of that has a counter in the monster's arsenal. The monster is just faster than the hunters, arguably even faster than Caira's speed bost (which is extremely limited and needs a long time to recharge, anyway), so running away is not an option unless the monster is constantly changing targets in the middle of combat before the previous one is down. Which is about the worst mistake that a monster can make in a match.
Many times have I eaten up loads and loads of mines, harpoons, grenades and what have you as a Goliath when chasing down a target (Wraith is a different story though, definitely). And it just doesn't matter. Once you are dead set on a hunter, he or she is going down, unless you as a monster are a level 1 or a low health level 2. If you can get get away so easily from a monster, I'd argue that you are playing against pretty bad monsters. Smell, speed, strength, life... The monster just has every possible tool at its disposal to commit to a target, track it, chase it down and eliminate it, all while eating up whatever the other hunters throw at it in the process. So, the monsters that you are facing are either not making full use of the monster's prowess, or they are making the huge mistake I mentioned of changing targets mid-battle (which is the sign of a bad monster).
From my experience as a monster, going Hank first and medic second is a big big mistake, one that many monsters are tricked into making precisely because of the intuitive (though in my opinion wrong) idea that once Hank is down, killing other members will be easy without his shielding ability. But this creates some problems for the monster: If we are talking about ignoring the trapper (or leaving them for last), going 1) Hank, 2) Medic, 3) Assault, that makes it three hunters that you have to kill off before the threat of heavy damage (Assault) is gone. That's a huuuge time for that very same person to take off a huge chunk of your life bar... if not all of it! Going 1) Medic, 2) Assault, though, is fast an efficient. Even if you don't kill off assault, taking the medic out completely cripples the hunter team. And even if you don't get to kill the medic off, simply taking them down once will already help in doing so quickly next time you have to battle the hunters (due to the reduced health handicap).
This is my reasoning for why Hank is not such a threat for you as a monster:
First off, Hank's shield is a life bar of its own, meaning, the monster can just keep beating up the person who is being protected and the shield will go down faster. It's a useful ability, of course, but not one that will protect a target from a fully committed monster. Once the shield's charge is up, it takes a long time for it to become fully effective again; by then, whoever the monster was targeting will be dead already. If anything, I'd argue that Val and Caira healing you up acts as a more effective shield than Hank's actual shield.
The orbital strike is dangerous indeed, but if you can recognize when firing is raining over your head, all you have to do is get away from the impact zone. Problem solved. You won't have to worry about the orbital strike for the remainder of that battle.
Invisibility has too many counters for it to work against skilled monsters; from the footprints that hunters make, to the visual cues that give their locations away (like being hit or when they use their jetpacks). Invisibility is a tool that works well when the monster isn't aware of you and you want to keep it that way, and while sometimes it can force the monster to give up and switch targets, good monster players will still be able to locate the person they want to kill.
I do honestly think that going after the medic first and fully committing to taking him or her down is an unbeatable tactic. That is, unbeatable for any level 2 monster or above. The only real counter to it, in my opinion, is to effectively track the monster down and take as much of its health as possible while it's still stage 1. In my experience, letting a skilled monster player who uses this tactic evolve even once while being near full health (assuming the hunters equally skilled) means that the hunters have already lost. It's not even a match at that point.