I'm with Robert here, what you describe is a classic "running out of fuel" situation.
You've prolly seen all the jawwin' we do around here regarding blocked and grungee fuel delivery systems! It May well be that the syndrome has hit your rig now. And if there is trash in the system chunks will enter the oem fuel pump also and take it out or greatly reduce it's ability to deliver adequate fuel volume at correct pressure.
I don't know where this myth regarding "fuel pressure regulator" use at higher elevations started. But that is just a band-aid for a carb that is not set up correctly and/or a fuel pump that is out of spec. This same idea has been bounced around on these forums for years!
A fuel pressure regulator is certainly a valid "upgrade" for a carbureted application, but only when used with fuel pressure gauge to both "set" the regulator and then monitor fuel flow.
There are several small "issues" that can arise when operating a carbureted engine at altitudes above say 5,000ft. But nothing that can't be tuned for! And if the vehicle lives between say 4,000ft. And 9,000ft., then that certainly needs to be done.
But my suggestion here is...determine exactly what happened at the time of the engine stall fuel delivery-wise. Is that a repeatable occurrence?? If it is, then the same issue will occur at a lower elevation also. And, what was the attitude of the vehicle at the time, steep climb?...steep descent??...side slope???...flat?
As for off-road enhancements for your carb, there are some things you May do. But I can't remember which carb you are running! So refresh my memory hole. But those mods won't have any impact on your root issue if in fact it's due to restricted fuel delivery.
Running a "back-up" electric fuel pump is certainly a good idea on any vehicle used in the serious backcountry (that is called insurance!)! And it can be used to "boost" fuel delivery (with an operator-controlled switching system) if needed as long as a suitable regulator is installed and adjusted before it's needed! It can certainly be used to push through on oem fuel pump also, just install a regulator with gauge before the carb inlet and after the final fuel filter.