I find this tool useful for "what if" questions about span for various loads - remember though to confirm with truss engineer for final details.
http://freebeamsizer.com/step2.php?image=1
For 30' though and no post you will want engineered truss of some sort
Why not 2x6 with exterior foam? what is the need/benefit of the strapping?
Other option is interior foam followed by sheetrock.
then run electrical in conduits (no penetrations in sheetrock for a very good air seal)
I would suggest individual mini-split units - much better efficiency and your install cost should be next to nothing (I know you will need to get several quotes to get there) - I installed 3 Mitsubishi 12k btu units and the install guys were only here for ~ 2hrs
You can have individual controll...