If you have no Stingose you could try to run water as hot as you can comfortably stand over the bites so the heat deactivates the thing causing the reaction? (Be careful not to scald yourself.)

Another option is aluminium antiperspirant which is a lot weaker than the aluminium in Stingose but might help somewhat.

Also if you can’t resist scratching, try instead lightly slapping the bites or around them (old advice for tattoos). It creates a distracting sensation without the damaging friction on compromised skin.