Best way to insulate my cement basement floor (above slab)?

I just moved into a house with an unfinished basement that I'd like to begin the process of finishing. I've decided against the subfloor panels (like DriCore, Barrier, etc.), because after talking to their representatives, they do not recommend their panels as the finished flooring I have needs to be nailed/stapled down.

I've decided on the rigid foam panels method of insulating above my cement slab, but I've seen two different methods, and I can't get a straight answer on which is "better":

1. Using pressure treated wood in a "sleeper system" to essentially frame my cement slab, then placing the rigid foam panels in between the sleepers/joists (much like insulating in between the framed studs on a wall), then fastening a thick enough layer of plywood subfloor to the sleepers, that I could then staple/nail my finished flooring to.

2. Create an entire "floating" layer of rigid foam panels directly over top my cement slab, no sleepers or joists, then seal all the joints between the panels with Tuck Tape, then a "floating" layer of plywood subfloor, followed by a second layer of plywood subfloor, which is screwed down to the first layer of subfloor (but ensuring the screws aren't so long that they penetrate the foam panels), and then staple/nail my finished flooring to that "two layer" plywood subfloor.

Both of these methods of course, I would use a vapor barrier on top of the cement slab before laying any sleepers or foam panels on it (unless the foam panels already have a "vapor barrier layer/coating, which some have). In my head, the "floating" layer of foam panels seems more logical, as it is a continual layer of insulation, and isn't "broken up" by the sleepers/joists (even if they are pressure treated). However, I can't get a clear answer either way. What do you think is the best way to go here?

Thanks!