Trying to figure out some way of keeping lunch/drinks cold while on the trail.  Ideas?  Pics would be greatly appreciated.

I just keep stuff in an Alpicool C22 Portable Refrigerator - about the size of a medium ice-cooler.  It is very energy efficient, very low power draw, works great.  It is from China, and costs about 1/3 of Dometic or others.  It works on 12v or 120v, cords included. Keep stuff cool back at camp, return from day ride.  Although the Alpicool can take bumps and jostling in a camp trailer,  maybe on back of ATV would be to excessive bumpy?

Maybe not answer you look for, but the best I can think of.  A plus for a "real refrigerator" cooler size thing is it does not need any ice inside of it.  Stuff stays cool and OK, doesn't get soggy.  I have zero complaints about the C22

Other than that, I have a Sportsman warehouse steel frame lined soft "box" on back of CF600 T, large enough for a couple of those 6-7 drink small coolers and other stuff. 

Excellent real world review here by Slim Potatohead:
https://www.youtube.com/watch?v=tFzy-6LCnTE

Sportsmanwarehouse  Rear Bag on 600T  by "What About Bob" :
https://www.youtube.com/watch?v=MOgI18a8JXg

YMMV

[2015 Z Force 800 53/Trail EPS]

From experience when first starting off ATVing, you don't want drinks or food slapping around in a cooler nor have water and ice slamming into same. If I need to keep something cold I use a small, soft, insulated lunch bag, drop in some frozen water bottles or ice in a zip-loc, drop in what I need then pack it tight with more frozen water bottles or bagged ice and a towel to make everything snug so nothing can move. Otherwise my camper fridg is the best place to keep things...lol   

I have a large box in the bed of my Uforce to hold my  gear etc an use cooler bags for drinks cans
I wrap my cans in socks been doing it for yrs an a few frozen water bottles
Another bag for grub an if needed some rags or towels to pack it in can always use them for clean up

I've also used a chunk of foam that will absorb water an cut round can holes in it then got it wet ish the night before an froze it the. Slammed in a 1/2 dozen an out it in my coooler bag stays frozen most the day lol messy when it Melts but cold drinks all day

From experience when first starting off ATVing, you don't want drinks or food slapping around in a cooler nor have water and ice slamming into same. If I need to keep something cold I use a small, soft, insulated lunch bag, drop in some frozen water bottles or ice in a zip-loc, drop in what I need then pack it tight with more frozen water bottles or bagged ice and a towel to make everything snug so nothing can move. Otherwise my camper fridg is the best place to keep things...lol

First, thanks for input and how you do things.  I bought a 7'x14' cargo trailer and converted it to a Very Strong ATV/MC toy-hauler//Camper.

Since the interior was an empty box and looked for things to do stuff: fold-to-the-wall sofa-bed, propane stove, small sink, electric stuff- lights, batts, solar panels, insulation, roof temp-controlled fan,  some sort of fridge, tie-downs, self made roof fishing pole holder, REALLY COMPACT shower-portapotty-room, TV-DVD player, selfmade TV digital antenna, and so on.

The Alpicool is a winner hands-down on doing the job without a big power drain.  I go into the mountains and the battery/solar panels is it, no plugs for 150+ miles.  OK, fine.

I understand about stuff in coolers smashing into each other.  Don't like, not worth the grief, and beer can't take it.  Live and learn. Regular upright fridges in campers are power hogs and not great.  Just my observation.  Alpicool any day is a good deal.

I carry usual tools, some special tire tools, air pump, Jesus Tape ( Duct Tape - Jesus I hope This Holds), nuts and bolts, tie wraps, and things of that nature.  Something not good is bound to happen because you are not on your own front yard or driveway.

I agree that if it is too big a problem, just bring it back home.  Fine.  I just thought there may be other small things that might happen.  One wrinkle in that premise is if you are alone.  I have a Maadsdam Rope Puller with 100' of rope if the winch or battery fails.  It is sometimes needed in periods of impeded progress - like being stuck somewhere.  Since you are in NM, you know what "we consider difficult" in mountain/desert states is different than some folks have as "difficult".

I was also considering a friend who has ATV with ~400 miles on it, 4 years old, and has NEVER done a thing to it.  By "a thing" I mean oil changes, air filer changes, adjust, ot anything.  We are to go to Moab Canyonlands area.  These areas are NOT a piece of cake.  Things happen and break out there even with some caution.  Hmmm, not my style.

Whatever.  Go out and play or hunt or fish or run mud holes or something.  If not prepared you pay the "experience" price.

YMMV

[2015 Z Force 800 53/Trail EPS]

Well, I'm rarely alone on the trail anymore..most always with someone who can pull me back to camp if necessary. And if the wife and I are out along, its never too far to walk back. Thankfully the Z has never let me down. And my fridge is gas or electric. I use the gas when camping. When running hardly more then a big pilot light...but its only an 8 cubic foot so not that big...especially when the wife's along...lol