One thing you could try (but yes time of year you kinda have to grab what you can) is try & park so your driver side is near a poll. I will often park so the big pillars that run through the underground parking are on my drivers side. It gives me plenty of room then & no one can actually park too close.
I have to avoid parking with my nose out. Because with out fail some big 4WD will park so close tot he back of my Van I can't get that back open to put the pram away. So as nice as it is to park with my nose forward I just can't do it if I have the pram. I know I wont be able to put it back in the car when I get back! Its ok if its a sedan as I still have enough clearance but its always 4WD's!
Not sure what else to suggest but I think your sign would be good. Im sure if it was polite & maybe a little humours people will move the car a bit if they think its too close. If not, just keep going back & having the owner called over the PA system.
eta - Suggestion for a sign " Heavily Pregnant Driver - Please be considerate & leave enough space for this beached whale to open her door to get back in the car" Along with a funny picture to draw attention. Im sure people would have a giggle & make sure there was room.
BUT problem is most drivers might not look to the left & you would be replying on them having a passenger who noticed your note.
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