Walmart offers the Prismacolor Premier Colorless Blender Pencil 2-Pack for $1.26. To drop the price to $1.18, opt for in-store pickup. (Amazon has it for the same price via Subscribe & Save.) That's the best deal we could find by $5. They feature pigment-free, wax-based cores.
Note: Be sure to cancel your subscription once your order arrives to avoid being billed for subsequent shipments.