I have made #50-plus bows with 1/4" wide tips.
I like making these, esp. Holmegaard designs and I use the rule: double the width=double the stiffness. Double the thickness=8 times the stiffness. That's kinda the whole point; thicker tips can be stiffer and weigh less than wide tips.
Like say you want stiff tips about 10" long. If a it's 1/2" thick and 1-1/2" wide, start about 12" down, thicken it to 5/8" over several inches, while narrowing it to 3/4". Then leave it 5/8" thick, while you narrow the tips to whatever final width will be, like 3/8 or whatever..