"Jasmin", I can understand your frustration. This is a type of pot, that has lightweight, hardened poly foam, with a faux, "clay pot" like, outer appearance.
I'd considered painting it with a can of spray paint (not very inexpensively !) which would resemble look of "faux granite stone." (Or, could use cheaper spray can of Rustoleum, in "clay" color, entirely.)
I can only explain, the main component, as being similar to that of lightweight interior of a surfing board, yet hardened. Likely, yellow in color.
This "faux clay pot", isn't like, the fiber glass exterior of a surfboard, or vehicles such as Corvette, or a "Dune Buggy".
This is the second one, that's been given to me ! I can't find these, on the internet, so far.
(Neither pots, were new.) The other, was twice this size .
So, I don't know if they're even making them anymore, or not .
Although, most certainly the freeze thaw cycle, will crack many things, as any "moisture, expands" at freezing point, & can crack clay pots as they're porous, & absorb moisture. Part of your problem appears Though expanding of potted plants or Peonies, & soil inside any pot, may create cracking, if the interior contents freeze, & expands more, with extra excess moisture inside it.
I had a large Campanula, clay pot, for about 30 years, & only a small piece, ever cracked off ! (It was a highly fired, quality Italian pot, & lasted a long time, even in my zone.) Yes, it freezes hard at times, here too.
Maybe what I've shown below, if you can find a "used" one, just may solve the problem. I've never seen these for sale, unless it was so long ago, I've forgotten.
Unless, the other possible suggestion, is you use a square wooden type planter box, constructed, to size. (Which some decking material, available now, is an actual composite material, instead of real wood.)
The beautiful pots shipped from Thailand, with fantastic glazes are wonderful, though very heavy, & thick clay, still might not hold up, outdoors in your zone.
HTH with some thoughts, to give you ideas.