Solid Axle Strengths (on average):
-Better articulation
-Easier and less expensive to work on, replace or lift beyond a couple of inches
-Swapability (for example, you can upgrade a GM 1/2 ton solid axle with a GM 1 ton and it's pretty much a bolt-on improvement that anybody could perform… not so with IFS).
-In the past anyway, it seems the solid axles on SUVs and ½ ton trucks tended to be stronger than the IFS units
-Stability (solid axles all around tends to provide more lateral stability in comparison with rigs outfitted with a poorly articulating IFS and a very strongly articulating solid rear axle... not really the fault of independent suspension per se, but rather the mismatch caused by the common decision to pair a solid axle with an independent unit.
IFS Advantages (on average)
- Much better ride on most types of terrain and esp at higher speeds
- Lighter weight
- Very easy to lift a little bit (assuming the unit can perform well after a torsion bar crank or two... which may not be the case with some units)
Many of the top current model expo vehicles are still solid axle: G-Wagon, Defender, Land Cruiser 70, Jimny, Patrol Y61, Wrangler, etc. And you'll find plenty of vehicles on this website and others that have had IFS swapped out for solid axles. But it is also true that plenty of independent suspension rigs have proven capable: LR3, Montero, Hummer and the Trooper to name a few… and of course the vast majority of Toyotas made in recent decades (and Yotas are among the most successful expo vehicles in the world).
Overall, my impression is that solid axles front and back probably offer the most practical/cost-effective platform if you’re planning to build up your vehicle with medium to larger lifts and much bigger tires to handle extreme terrain. That being said, with modest tires/lift heights, IFS can be just fine... possibly even better depending on the terrain you'll be exploring. And as has been mentioned, some IFS units are downright tough and will handle bigger tires just fine.
With your planned trip and build, I doubt it would even matter one way or the other.