Maybe build a vertical rack? Just black pipe sections on flanges sticking out from the walls at the studs, or whatever spacing you want if you use a ledger board. The pipe sections don’t need to be more than probably 18”-24” long, maybe shorter if you know you aren’t going to store wide pieces of lumber. 

That would greatly increase your volume of storage without taking away too much depth, and it’s cheap to trial. 

Ryan/// ~sigh~ I blew up another bowl. Moke told me "I made the inside bigger than the outside".