Ice picky on top E solution?

Been using D'addario XT 9-42 on Strat and Tele with the Fender type amps and getting an ice picky ringing harmonic (artifact) on top E string. I realise these type of amps can get that way but how do you reduce that using the III? Does string size make a difference? Any suggestions appreciated.

I always back of the ‘high treble’ right off - that gets rid of the ice-pick treble For me.
 
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