I have given a look to old DIN 1053 and 1045 that deal with wall masonry construction and your stone thickness wouldn't be approved if loading. It does not, and so such code then limits for the size of continuous panel (without buttress) to 8 m2 for elements with proportion 2:1, giving for your height of about 6 m separaation between buttresses 1.25 m for an even lesser and worse ratio (out of the table). In short, as long as the wood behind normally does not have stiffness enough to oppose wind pressure and suction without risk of the stone breaking, buttresses are needed and those needed would be specified so close that simply it may make more sense start with thicker stone wall. If your house is stiff enough against lateral deformation (wind), may be exists the possibility of reinforcing the stone behind, towards your wood skin, a calculation would indicate. Another solution is to build trays on your wood frame and attach or fix by layers the stone to the wood frame...that more likely would need then to be strengthened.
Last, if you go for buttresses, better align them with walls and leave a first section of 2 ft of buttress contiguous to your wall.