chalky plastic panels

I was going to start a thread about this very thing ... nice ya'll beat me to it. :-D

I've been restoring an old Radio Flyer tricycle for a valued FABO member customer's granddaughter. The metal looks fairly spectacular but the flat black Duplicolor paint I bought for the plastic parts is terrible!

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Despite what I thought was thorough paint prep (light sanding and spotlessly clean), it hasn't even had a butt on the seat yet and the brand new hand grips, pedals and wheel caps are peeling!

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I've got to do something with this thing and get it back home to Pennsylvania where it belongs so she can ride it before her tenth birthday. LOL

I can spray powder with the best of 'em but I've never claimed to be a painter. What's the best method for removing new Duplicolor paint from 30-year old plastic? I've got some powder coat stripper but it's pretty heavy duty and I doubt if the plastic would survive a dip in it. Thanks in advance for any pointers. :-D