I don't know for sure. But it doesn't seem to be speed-related, is that what you're sensing too? Sounds something like popcorn popping and even 'springy' type noise, which points to more of a binding/unloading situation. So, I'd personally look towards suspension parts. That's an odd noise, I'll give you that.
Are you going to do the work yourself, or take it to a shop? If taking to a shop, go ask for a suspension inspection, even if ya need to pay a little for a more comprehensive inspection. If doing the work yourself, I would suggest checking all the suspension pieces and bushings for wear or binding. That's not as hard as it seems. Support the lower A-arm with a jack, Undo the outer tie rod, the anti-sway bar connecting rod, and the upper ball joint. Tap a screwdriver or wedge and pop up the upper ball joint (should come off pretty easy). Rotate the spindle assembly around, and inspect the upper ball joint and all the joints with your hands.
You could also (if you wanted to take it to the next level) remove the axle too since ya have the suspension apart. But to do that, remove the big nut and tap the stub shaft in before you remove the tire and undo the suspension. The "trick" to removing the axle w/o removing the lower ball joint is to support the frame with a jack stand and lower the a-arm (with a floor jack) ...lower the a-arm down enough to get enough clearance to remove the axle. If the A-arm is raised you can't get it out. So, while the axle is out, look in and inspect the outer bearings in the front diff for dryness or spalling. At that point you can also 'feel' the action of the CVs and suspension parts.
Also before you take anything apart, lift the wheel up with a jack under the lower a-arm, and, using your hands lift up/down on the inner CV joint where it comes out of the front diff. See if you feel a lot of 'free play" there, which I've read a number of owners posted online. It's possible if there's excess free play that the axle splines or inner coupler are re-centering themselves under certain re-load conditions. Because behind the axle in your picture are 2 needle bearings, a splined coupler and an intermediate axle shaft. Those could be 'clicking' too. I had a lot of freeplay on the Dr side of mine. New bearings resolved it, but I wasn't getting that kind of noise. If you have it out, you may entertain replacing the axle too if yours has a lot of miles.
Other than that, it's kind of a tricky noise. But in general, by doing the above inspection, you're not hurting anything. Take time to ROTATE all the suspension parts around and press on the boots as you do ...to help work grease back into the joints. That'll extend the life of them a lot.
