I've never found any headspace gauges for the Swiss rounds either. I wouldn't worry about it too much on K31s. If you really want to be safe, you can take the scaredy-cat approach I use with all my surplus rifles (even the ones I headspace check): Tie them down to something ( I use an old tire), tie a string to the trigger and then let off a couple of rounds from behind some cover. If the gun didn't blow up, take a paperclip and put a 90 degree, 1/4" bend in the end of it. Run it down the inside of the spent cases to look for any internal irregularities. If everything looks okie dokie, you're okie dokie too.
I'm probably overly cautious, but given I've only got one set of eyes as well as other irreplaceable parts, I prefer to take the "rather safe than sorry" approach.
Note: I'm neither a gunsmith, nor do I even play one on TV.