I put eye bolts at the bottom of the rear bumper, near the outside, where there was already a hole. I'd run the standard bumper tabs, but they're expensive. No, the bumper isn't that strong, but it IS stronger than the wood that the camper tie-down is screwed into.
My camper has access hatches at the front, so I do the front tie-downs inside the box. (I added eye bolts to the camper inboard from the factory front ones.) I used the factory box tiedown points at first, but then I felt guilty because they're "only" in sheetmetal, and I put eye bolts through a stronger part of the box. (It's all in the truck and camper build links below...) In hindsight, it was probably not necessary to add stronger box mounts... Once I saw how the camper eye bolts attached, it was obvious they'll rip out before the factory box tie down.
I've used turnbuckles with light chain, and I find that they require tightening from time to time. I've also used 1" webbing ratchet straps, which seem to stay tight. Most recently, I use turnbuckles at the rear, where they're easy to inspect, and ratchet straps in the front, where I do them once and forget about them.
If using ratchet straps, be careful. You don't want to crank it right down, you just want to take the play out. When you hear the wood crunching, you've tightened too far. If you plan to go offroad, loosen the back tie downs a bit... That will let the box and frame flex some, while the camper stays rigid. Failure to do so will eventually destroy the tie down locations in the camper. Or the camper itself...
The Brophy stake mounts (I think those are the ones you're talking about?) will probably be fine, but the stake pockets on modern trucks are getting pretty whimpy... And you'd be pulling way forward on the rear camper mounts, so not ideal. Could use the Brophy mounts in the front, and tie the rear to the bumper. Easy to check all four, and probably cheapest option.
Edit: The Brophy mounts aren't what I was thinking of... I guess they'd be OK, but you need to pull mostly vertical with them. Pulling rearward on the back ones would be less than ideal IMO... I'd go with Happijac bumper tie downs in the back...
Good Luck!!
Chris