Shoot, you're going to need to take an extra step to make the number odd. Okay, assuming seven steps, your number will be
3476-1221-6(for the caught poke)-6(2 patches)-7(steps) = 2236
Divided by 2, this gives you 1118 Journal Flips. As an additional note, I would go ahead and keep chaining after you catch the first one, as you have a pretty wide range of target frames to hit, and you may get lucky on the next one if you didn't on the first. It's probably not necessary, but it may help. On Shoddy, you go to "Find matches" "rated" (or Ladder) and select "UU" from the drop-down menu. Load your team, click on "find a match", wait a bit, and an opponent will pop up and battle you. Of course, this is rated, so these guys are pretty competitive!