Door latch screw backed out, door won't open

[71swb4x4]

One of my door latch screws backed out and now the door won't open. I can see the screw, but it's a ways down and tough (that's putting it lightly) to get ahold of. Inside the door I can see the hole that the screw threads into and the screw is backed out quite a ways, no way to grab it from the inside. Any ideas? I have attached a picture of the passenger side screw just to give you reference. So it's the top latch screw, that is countersunk into the door.

This is on a Blazer. So I can look straight down the door gap and just barely see the screw. When I push on the door I can see it relieve a little pressure. I have tried a long screwdriver and I can't touch it, too much angle. I worked a hacksaw blade down there and I can touch it, but that's it.