Installing Rigid Foam Insulation around support Beam

Okay, I am getting ready to begin installing rigid foam insulation in the basement of my new home and have a question. When my home was built, along one of the concrete basement walls, the sill plate hangs over < 1/2". To correct this, the builder attached pressure treated 2x6's anchored to the concrete wall to support the sill overhang. (A structural engineer signed-off on this).

Anyway, to install the rigid foam, I am supposed to glue it directly to the concrete taping the joints to complete a tight seal, however, I am looking for help installing the rigid foam around the support framing. I was thinking that I would install 2" rigid foam around the framing, them come back and install 1/4" over that over-lapping so that the joints between the 2" RF and support beams will be sealed. Does anyone see a problem with this? Or would it just be better to install 2" and just seal the gaps with spray foam? It is only along about a 8 foot section of the wall. I can provide pics if that will clarify things.

Any input will be extremely helpful, thank you in advance!

 

You can just go between the 2x6's, but I would use caulk rather than spray foam to fill the gaps. The foam may exert enough force on the RF to lift it away from the wall.

 

I like the second option but go with the low expanding foam if you decide to stick with foam.