If challenged on the term strip search, as seems semi-likely:
"It records a picture of my naked body, and sends it to a screen for someone to look at, right?"
Then, regardless whether the responds is "yes", "no", "yes, but...", silence, whatever, follow up with just:
"Pat-down, please."
"I opt out of the electronic strip search {.|because} {I believe in human dignity|it's silly|I am worried about potential health risks|of Rolando Negrin|...}"
Strip search
Electronic strip search
Virtual strip search
Anonymous strip search
Personally if they really want to see me naked they can. It's just a hunk of meat. But you're lying, it's not a strip search unless you take off your clothes, ie "strip".
It's a scan of your body. You're perfectly right to object if you don't like it but it's silly to lie about it IMO.