Since you didn't lay the PEX yet, I'll chime in: Don't put it within the top 2 inches of the slab.
Concrete is pretty thermally conductive (more than water, even). No matter where the PEX is in the slab, the concrete will conduct heat throughout its entire mass to achieve a nearly uniform temp. Yes, with the PEX at the very top of the slab you might get heat into the building a touch sooner on startup, but then you will still pump heat into the entire concrete mass. But putting the pex at the top puts it very much at risk! You know that you need to cut control joints in your slab to control the cracking, right? You should cut these joints 1/4 of the slab thickness. This would intersect with your PEX plan. You may also want to anchor things into the slab later (risky, but if you know how deep the PEX is, you can get away with it).
In my 30x36 pole barn with 4-6" slab, I put my rebar on 2" chairs and tied the pex directly to the BOTTOM of the the rebar. I don't even really understand using mesh, btw. Solid rebar on a 1-2' spacing accomplishes all the slab control you need, mesh doesn't do much above that. But I did add fiber to my concrete mix (cheap!).
Nice improvising on the chairs, btw! I think that will work nicely. I bought mine off amazon, they were readily available as of 3 years ago anyway. Also my rebar ties.