Subfloor: styrofoam insulation between sleepers or strapping on top of styrofoam?
My answer based on your choices

I'd be more worried about your sleepers rotting due to moisture seepage from the concrete than the heat. 

You should  choose option 1 only if you have ground contact (GC) rated lumber, else you won't be to code and are likely to have issues later. As your surface is either at or sub-grade, the ground it self is going to be fairly resistant to changes in temperature already. Thus Option 2 isn't likely to provide much of a cost benefit with respect to thermal insulation. 

Because you were using this wood for framing, I'll assume you don't have GC lumber, as such, you should choose Option 2. Option 2 not only provides the most insinuative value (as demonstrated in this video), it gives you the chance to buy treated lumber.  



What I'd really do

If your plan is to eventually install tile or hardwood I'd just use your existing lumber over your existing styrofoam, add the extra height to your threshold, and trim your doors to size as this would give you the best value. Then take the money you saved and apply that to some floor covering as OSB doesn't take paint well. 

Else, if you aren't sure what kind of floor covering you want, I'd recommend forgoing the time cost of installing a subfloor and just tell you to buy some high quality interlocking luxury vinyl plank (LVP) with a moisture barrier and insulation built in to install directly atop your slab. (Choose one with a deep groove for the interlock as the shallow interlocks tend to fail fail when the LVP is exposed to heat / sunlight)



Vapor Barriers

The best practice for vapor barriers is for them to be on the exterior (ground) side of your slab. If you slab was poured this way, adding a second vapor barrier is not recommended. However, you should still use GC lumber due to the condensate that will from on your slab during a warm humid day.

If you do add a vapor barrier on the interior of the house it should be between your wood-osb.  You should staple your vapor barrier into place (hard to do into cement) then use an appropriate tape to cove the holes. When you go to screw in your next next layer of material a wood-wood junction will be better at sealing the hole in your barrier caused by your screw than a wood-cement one.