your str req of the enigma needs to be less than your base str + the bonus from enigma. then you need to manipulate the equip order of items that add the strength required to wear the enigma
assuming no str added to the character and 40 stats from torch/anni:
30 (base) + 74 (enigma) = 104
wire has 111 req, so you can add up to +6 str
you'll have up to 76 base strength (if you added the 6 points) with torch/anni, meaning you will need at least +35 str from gear other than the enigma with lower str req than the enigma itself (otherwise you won't be able to pick up your corpse in one click). then all you'll have to do is lift those items and put them back down. it'll last until you die, lift the enigma, or open a trade with someone.
example: your ring gives +20 str and you have dracs (+15) equipped for the +35. you will need to lift at least one of the these two items to become str bugged, and anyone who was on your map when you do this will still see the enigma until they re-load your character on their screen