Excuse me for my ignorance, I've never used tubeless bicycle tires. But if the OP is experiencing the flats as a result of punctures from the likes of thorns, cactus needles, and other pointy things in the desert, how will tubeless prevent the flats? Are tubeless tires thicker, more resistant to such punctures from such objects? If the tire gets a hole punctured in it you still get a flat...right?

Regarding solid, or "airless" tires (airless, not tubeless)...I'm strictly a roadie, but I have a couple of sets of solid/airless tires that I used several years ago. I initially got them so that I wouldn't have to worry about flatting on my way to work when I was commuting on a road bike, or during my quick lunchtime workout rides. But, I stopped using them mostly because I just didn't like their performance. There is a weight trade-off. Solid tires are heavier. But, there's no need to carry a pump, spare tube(s), tire tools, etc. They have a much greater rolling resistance than traditional pneumatic tires...noticeably in lost MPH. But, off-road that might not be as much of an issue. However, on bumps, the solid tires don't provide the impact absorption and distribution around the wheel that pneumatic tires offer. That can result in more isolated impact on the wheel and more likelyhood for damage to the wheel. I would only use solid tires if I were riding on very smooth surfaces, with no potential for bumps, where the reduced rolling resistance (i.e. speed) is not critical.

My suggestion is for tire liners. And if the commercial off-the-shelf liners aren't working out...maybe it's time to think outside the box and create your own, or use multiple tire liner layers.

Dan