One thing to consider is your expected search terrain.
For fields and so forth where your lines of sight are limited by tall grass, foliage, hills/gullies, etc, the floody light will find your targets faster.
If you can't REACH out far enough on a search, say you are on opposite sides of a ravine/canyon, or the lines of sight are a few hundred of meters or more long...then the throw pattern is more necessary TO reach the targets.
So I tend to have flooders for the tighter terrain, and throwers for the wide open spaces...and use whatever's most appropriate at the time.
Vinh's stuff is excellent, I have a bunch of it, and its top drawer. He DOES tend to make it all work in "Balls to the Wall" mode....so the run time is shortened...but if you need a reach out and touch them and/or a wall of light....he's a good guy to have around.
He will also do custom drive levels, so you can fudge towards more run time or more power, etc.
I also use some HID lights when I need a lot of lumens and a lot of range, but again, they have relatively short run times....and are better when searching from a rig with electricity to power them or at least charge cells you can rotate.
OSTS/OMG Lumens stuff is geared more towards longer runtime and the most throw you can get with that and a good tint. Also top drawer, and I use his stuff too.
For maximizing throw in a small form factor, its hard to beat an aspherical lensed light, but, to SEE what's out there in a small square of light is not as easy as with a flood...you are doing a lot more sweeping and panning, and, sometimes, especially closer up, you might illuminate a part of a body/limb, etc...and out of context, not recognize that's what it is tangled with tree limbs/brush, etc. A wider beam can give more context, so you see the entire target, and can more easily recognize it.
Of course, if you can't CARRY a light with enough range, a small enough to carry floody light that will show you what's out there to 400 meters is less useful if the target is 500 meters away, etc....and its a thrower, or darkness.
:D
I don't know how many people you need to equip, but, also for tighter terrain, even P60-ish sized lights can work if they have the juice and the team is coordinated to cover the ground effectively, etc.
A lot of spare cells are sometimes more important than what lights, as for long searches....you need to swap in freshies every hour or two typically. If you have a lot of spares to swap in, you can get away with more powerful out put at the expense of run time.
So, think about how far away you will be looking for what/who, and in what kind of terrain...and try to get the light patterns that will work best in that scenario.
Generally, to find a target like someone prone in grass/uneven low contrast terrain, you will need about 5 lux or more on them to resolve them from the background on a sweep of your beam if they are 200 M or more away.
To put that into perspective, that's a cd of ~ 200,000 to put 5 lux on something 200 m away, and ~ 50,000 cd to put 5 lux on something 100 M away, etc.
When you consider that kind of relationship, you will see what a big jump in throw it takes to be able to usefully resolve low contrast targets.
IE: Ignore the ANSI ranges claimed for throw....in practice, 0.25 lux might show you that's there's a tree out there, but not the guy facing you, sitting with his back on the tree's truck...looking right at you. At ~ 200-400 meters for example, you are using your fovea to resolve fine details, and, that takes too much light to work well w/o more lux...as your fovea SUCKS at low light vision....hence the 5 lux recommendation.
So, if they give a cd for the light under consideration...take the square root of the cd, then divide by 5, and that's the max search and rescue range (In meters) you'd probably use it at.
Obviously, if your targets are wearing white, or reflective vests, etc...you can "flash" the reflective parts with even lower than the 0.25 lux limits, but, that's an unusual convenience to get in this scenario.
I'm more likely to be told the target is a little old lady in a dark pant suit who wandered off from the assisted living center at lunch, and never came back, etc....and I'm looking in ditches and the canal along where she was reported to take her daily constitutional, etc.
Sometimes, there are NO lights that find them: I had a 90+ yr old that went for lunch-time walk from an assisted living center, and never came back, and we had choppers and ground crews combing all over the freakin place for him, and he showed up in another state, where he decided to go visit some family members...except he picked the wrong state and missed by ~ 500 miles or so....and never actually visited them either. He did have a nice train ride though....and lived to tell about it.
:D