Well, that's pretty much what I did. I dropped one at one end of the map and then ported to the other end and found another. Went back to my spot, dropped it again, ported back to the other end and found the other one. Ended up with all three!

To be fair, this was at night when hardly anybody was on, so not many people were missing them. I'd hate to take them all during the day when everone's on and looking for them and then I have them all.
But thank you! I probably wouldn't have thought of that if you hadn't mentioned it!