The event should give them a good chance, since Rose is most certainly going to be expressing her undying adoration for her fellow Johto prisoners at some point. Afterward there may be an egg sale anyway, however, seeing as Swablu is also needed. Which...is also a flying type and I just realized I forgot to mention it. But Dratini eggs will be mixed in there so! If that would work better, I will definitely go that route.

I and Rose both are extremely flexible though, so anything else will work really. If you have a different idea, let me know! :3