I used minwax wipe on poly. Tried the satin sheen first and it was horrible (and yes I shook the can well first). It imparted streaks into the surface, so I sanded lightly and began putting on gloss poly until the sheen was uniform and the streaks were no longer visible. Poly applied with with a flat surface cotton rag and I was careful to cover all surfaces and wipe off any excess.
Mark I understand your (presumed) reluctance to go back to a product that gave you streaky results. But now you have a different situation - sealed wood now versus bare wood previously. Now that the gloss poly has sealed the surface and built up enough, changing the sheen is a matter of either:
A - adding a layer that has flatteners added to diffusely scatter the light (i.e. satin poly), or
B - scratching up the surface in a controlled way to diffusely scatter the light (rubbing out to control sheen).
Given that you already have satin poly, if I were you that is what I would do. It is of course possible that your product is somehow faulty for whatever reason and will give you streaky results no matter what.
If I were to choose route B, I would want to practice the method before using on a real piece, because this is more skill based than product based (although using the right product is important, I can't tell you what that is; brown paper bags are suggested above).
I do not have experience with method B, whereas I have used method A (the 'Satin topcoat over Gloss base layer polyurethane') to achieve decent results. In fact that is the methodology suggested by finishing experts for better optical clarity of an overall polyurethane finish (loading each layer of a multi-layer finish with the flatteners that make Satin less glossy than Gloss makes the overall finish have less clarity, or makes it look 'muddier').
Hope that helps, and let us know what you ultimately decide and how it works out.
Additional note - satin poly needs to be well stirred, and not shaken (opposite of a martini?); typically says this on the side of a can in fine print (which I struggle to read these days for some reason).