From your description, it seems like you're ignoring the procs when they appear. Your effectiveness as a crafter depends entirely on how you respond to those good or excellent procs. I also think it's best to stay away from following a rotation blindly. For low level items like basilisk whetstones, you should be able to HQ them by spamming SH, GS, and AT until quality is at 100% and then finishing with CS2. You shouldn't need inner quiet, byregot's blessing or even innovation.
This is the general methodology I use when I craft the current end game 2* recipes (same general steps can apply to all crafts):
1. Figure out beforehand a general method for progress (subject to change during the craft)
2. Figure out beforehand a general type of Byregot's finisher (also subject to change during the craft)
3. Do whatever it takes to build up the highest possible number of inner quiet stacks.
There isn't a fixed rotation that I follow because what I choose to do depends entirely on the procs that appear (both number and timing). My vanilla rotation has 11 touch attempts, but I rarely use 11 touches unless I choose to spend my excess CP on precise touch only. This is because my general rotation can be easily modified to 12-14 touch attempts depending on how many good/procs appear.
The largest number of touches isn't even necessarily the best approach either. For example, 14 hasty touches is statistically superior to 1 precise touch and 11 hasty touches. However, 2 precise touches and 10 hasty touches is far superior to 14 hasty touches. If you consider all of these factors, you'll blow through any of the recipes that have been released in HW so far.
