They make a foodier and a throwier version, if your range is as described, a floody beam will be best typically for tracking, as it gives peripheral vision as well as context information. With very tight beams, its like looking through a paper towel tube to see what's out there, and you can't see it all at once...but the "throwy" version of that right angled light IS floody to start with, and the floodier version is just even floodier, etc.
When you only see part of something, its harder to realize that it IS part of something, etc.
When looking for tracks/blood, you want to avoid too much of a hot spot, as it glares out details. A wide angle beam that makes a smooth even coverage of light, more like turning on a ceiling lamp in a room, etc...allows the eyes to look for small details more easily....as if you shine a tightly focused beam right AT what you want to see, you can't see it because of the glare.
:D
BTW - There are two ways to get a red light: A filter over the lens that removes all but the red light, or, a red emitter that simply IS emitting red light.
Obviously, a red LED will be more efficient than a white LED with a red filter, as MOST of the white light's light will be removed from your beam...but, its a cheap fix...and the white lights are stronger to start with...but you are using a lot of your cell's reserves to make light that you can't see with.
A red LED might make fewer lumens to start with, but, at least you see everything it does make, etc.