Solid axles are king!!! End of discussion! Just kidding, they both work well if you know their limits. My 80 has solid axles, but just because they are known to be stronger also doesnt mean I am going to do everything, foot to the floor all the time. He two previous posts make good points.
The more important issue is about the particular vehicle you intend to buy and how you plan to use it. Some vehicles may have weak links that can be addressed easily, whether it be cv axle upgrades, or items to adjust suspension geometry for a given lift height, or even things like tire choices. My old dodge ram had a Dana 60 front axle, if I went too big with the tires, I would eat up hubs on the front. The fix, 1500 to 2000 dollar lock out hubs... but I knew that going in so I kept modest 33inch tires on it and didnt have to spend the 2k. A buddy of mine went to a cheap 6 inch lift and put 38s on his. Guess who was wearing out front end components a couple of years later?