Are you noticing the bumps right after you shave? I ask, because about a week ago I was noticing bumps on the right side of my head. I thought it was from shaving, so I started experimenting. Turns out, it was actually from me sleeping on my right side and with it being hot now in the summer I was getting some acne from sweating. I started using some exfoliating scrub when showering before bed and it went away.
If it is from shaving, it's usually due to too much friction from the blade. Try less pressure, new blades, and new or more shaving cream/gel. If you do multiple passes, try applying more shaving cream between each pass.
The ice and HB ClearHead should clear it up, not make it worse.