...The stickers fall off with use anyway so I'd be less concerned about that.
The Meffert's version is the coloured plastic version with no stickers at all. It is not unusual that a cube does not follow the "specification". Finding a solution yourself has no problem with different colour schemes. Sharing hints is a bit different. You have to communicate a clear description of stationary (0) and moving (1) faces related to the usual colour scheme.
There is a good discussionHere
in this thread: How to solve Dayan's Crazy 3x3x3 ?
is the link.
I have not posted about Mercury because the restricted orbits make inside edge placement almost redundant (they almost solve themselves), and the rest of the solution is very similar to the simpler parts of the other planets.
If I were you I'd get the Jupiter next and then you will be able to build any planet you like, they are a very quick and easy change over.
Warning: Crazy Planet cubes are VERY addictive.
Mercury was my first planet and I have not found it easy to solve. I have yet to find out, why Burgo thinks it is easier than Jupiter.
In any case, the suggestion of getting Jupiter as a complementary Crazy 3x3x3 is good. Otherwise, you will certainly get a replacement from Meffert's.
...(on my Jupiter cube, only white face is not stationary), ...
Probably, this is a typo? I believe, you wanted to say "is stationary"?