As others have said, the sticky back bases don't stick long. Use non-sticky bases and affix with E-6000.

Tip - Removing the sticky adhesive
 

I've found that soaking a handful of these nylon anchors in lacquer thinner for a couple of minutes seems to work best at removing the sticky tape. After soaking, grab a corner and peel the tape off and discard, dunk the anchor once more to remove any left over adhesive, then wipe dry.

I have tried acetone, mineral spirits, rubbing alcohol, lighter fluid, razor blades, and physically heating the anchor with varying amount of success (or failure). I don't recall trying out MEK. What else have you all found that works well?

Like others have mentioned, I've had good success w/ E-6000 industrial adhesive. I used to have difficulty finding it but later discovered that "Academy Sports and Outdoors" carried it in the marine/fishing section (IIRC).

Walmart also carries E-6000 it is over in the craft/sewing department.