With stick-on WW being nearly pure lead, you're going to nee a 7-3 ratio to get to 12-13 BHN. If your lino is depleted*,(which most we can get is), it may need some added tin to help with fill-out.
*Depleted means it was running short on tin when they run it into the last letter bars they used, then sold it off rather than replenish the tin. Some of the antimony may be gone too.
Another trick that some do is melt the letter bars AND the spacers all into one big pot. Then cast pigs in the linotype pig molds. The spacers are really soft, nearly pure lead. That dilutes the lino, making it around 16-18 BHN, depending on how many spacers were in the melt.
Virgin lino should be 23 BHN.