It's a bit risky, but I've used this TT method a few times when I was looking for bridge requests, and did not had a problem. But you must be very careful!
First, wait until a villager pings you to move and then say "no". Then TT forward 8 days. None of the villagers will ping you now since they will be locked in the "where have you been!" conversation, and that requires you to initiate conversation with them first. Find the villager/s who you want to ping you and initiate the "where have you been!" conversation, and then save and reload the game. Now your villager will be the only one who
can ping you. Make sure your pockets are full with flowers or shells. If the first ping is not a PWP, use the diving method or close the game without saving and try again. Make sure to stay in the same day. If you move forward any more days, a villager
will be in boxes.
Once you get your PWP ping, it's imperative to talk to all the villagers, first to initiate the "where have you been!" conversation, and then to find out who is moving. I have found from tons of cycling that 8 days is the maximum you can go before another villager is in boxes. It is a little scary to use this method, but I was able to get my bridge requests and didn't lose any villagers.