I'm barely materia melded (+6 Craft and +1 CP) on full HQ gear, and I don't use Hasty Touch most of the time. I use macros for my 80 durability company supply runs, 100% HQ chance every time except the rare Excellent GS > Poor BB. NQ materials, no food. Works for everything 50 and under except for a few oddballs with items for ingredients or the ones that take crystals.

For 1 stars it's similar, but my macros only cover about 2/3 of the recipe, plus I use food and Innovation. 100% HQ chance 100% of the time from NQ ingredients. Again no Hasty Touch used.

I haven't tried 2 star recipes, so I can't say if Hasty Touch is needed there or not.

For the CP cap, full HQ base 313+35 melded, that makes 348. At least from what I've seen in game and posts about the melding caps.