The more I think about it the more I don't think they had a script doctor for this. If I ever get rich I swear I'm going to remake Requiem, or maybe do my own special edition.
The way I see it is that Wolf doesn't get a distress signal, he's on the ship so that when the crash occurs;
-He's the only survivor which is why there is only one Predator.
-His computer is damaged so he has to clean the mess up himself.
-He can't just bomb the area because his self-destruct is used to detonate the ship and surrounding Xenos (explaining why he never uses it in the film).
-The gear he has is whatever he could salvage, not because he has to suit up twice in the same movie.
-Because Wolf is aboard the ship and his screw-up is what causes it to crash in addition to the chaos caused by the Hybrid he has a much larger stake in killing it.
-Introduce Wolf's bad aim by introducing us to him with the mask off. His wound actually screwed with his vision so he makes a bad shot causing the ship to crash. Thus two cannons (one with an auto-aim) is meant to be extra firepower but also because Wolf actually has a handicap.
Then cutting back on most of the Human cast we're left with the cop and ex-convict.
The reason they end up at the hospital is because the Predalien was already there. Multiple hosts in one place with the added benefit that the Predator wouldn't think to pursue there. It's filled with mostly unarmed humans in the middle of town where the horde as far as surface looking goes hasn't been touched yet and Wolf has been held up in the woods.
You could even retain belly bursting as the Predalien is infecting the women which then explains how quickly the hospital gets overrun as it goes back and forth between it's hive and egg vomiting. Which is a note, we see Egg vomiting happen or at least implied before the hospital, so only use the kitchen scene and then when its discovered the Predalien had been hiding in the hospital you have our heroes discover the bodies in the maternity ward.