Board - Prior Split 172
Boots - Asolo AFS8000
Liner - Snowboard Boot Liner or Garmont Therm-Fits (still adjusting the fit), with a power-strap stitched to the portion of the liner that extends above the boot.
Binding - Strap bindings
I've tried AT boots with plate bindings (great climbing, terrible ride), soft-boots with standard binding set-up (great ride, seriously sketchy climbing), and now the above set-up. The above is perfect for split-boarding and mountaineering... climbs well, and rides just like a soft boot - nice and surfy, and the higher liner savalves from saves your calves from getting bashed ny the high back.
Oh, yeah... and get a split-board. It's the only choice. Snowshoeing sucks ass.