I am remodeling my laundry room. As you can see from the elevation drawing, I am building out a custom cabinetry for the washer/dryer so they are elevated. There will be drawers below which can be fully removed to reach the cleanout access. But, just in case there is a cleanout access under the stairs as well.
The cabinetry sticks out quite a bit farther than my other cabinets because the depth of the washer/dryer alone are 33" deep. Normal cabinetry is 24", the washer/dryer cabinetry will be roughly 40" deep to accommodate the units and space behind the units for cable/pipes and also about 2-3 inches in front so the washer/dryer are not literally at the edge of the cabinets.
I had an idea to save a few inches as well as make the back area look cleaner and easier for hookups. Currently I had a normal 2x4 framing to put insulation/drywall back there to handle hot/cold/moisture. The pipes and outlets, etc. will be recessed to save space. This gets a bit complicated trying to perfectly recess the dryer vent pipe so it aligns as close to possible with the dryer vent connection. Additionally, the recessed nature still means hot/cold water pipes and electrical means the units still need a few inches away from the wall. My idea is to make the entire area behind the washer/dryer recessed instead. But, I still want to protect against hot/cold/moisture, so I know I can't simply stick drywall directly against the concrete wall.
Is there a safe way to do what I want and protect against heat/cold/moisture? The recessed area does not have to be the entirety of the 4" of the 2x4, maybe I build the recessed portion as 3" and use 1" of insulation? Is that enough? Is there thin but super effective insulation that can handle this scenario?
I'm not sure if I am explaining this correctly, but hopefully I did, and if not hopefully the images convey what I am trying to go for here. Thank you.

