I'm new to the site; this is my first post. My fiancee and I are renovating a kitchen, basically building it from scratch. A problem arose this week after the countertops were installed on our kitchen island.
The tile I've chosen for the backsplash is a tumbled slate that is 1/2 inch thick. Unfortunately, there is only a 1/2 inch space below the bar top counter overhang, thus making it nearly impossible to install backer board over the wood and dead space where the backsplash will go. (Note: to the far left there is also a vent opening for when we eventually install a gas cooktop here.)
a) Should we remove and reposition the quartz countertops ourselves? This option scares me to death, as if anything breaks or cracks, we're out buku $.
b) Is thre any suggestion as to how I could "fill" the dead spaces so I can just mastick the tile directly to the 2x4 construction? There's little space to nail anything here, and I've run out of ideas.
Any help would be greatly appreciated!

The tile I've chosen for the backsplash is a tumbled slate that is 1/2 inch thick. Unfortunately, there is only a 1/2 inch space below the bar top counter overhang, thus making it nearly impossible to install backer board over the wood and dead space where the backsplash will go. (Note: to the far left there is also a vent opening for when we eventually install a gas cooktop here.)
a) Should we remove and reposition the quartz countertops ourselves? This option scares me to death, as if anything breaks or cracks, we're out buku $.
b) Is thre any suggestion as to how I could "fill" the dead spaces so I can just mastick the tile directly to the 2x4 construction? There's little space to nail anything here, and I've run out of ideas.
Any help would be greatly appreciated!