I just made a discovery. My Lv.53 Pidgeot has HORRIBLE IVs. No wonder I've had trouble training it. XD
I have 24 Jirachi in my box. Generating four more to sit in my party and may eliminate up to four from the box. This box will form my list. :) I'm keeping the bottom row free to move the final candidates in. Good thing I did a final four; this 18/30/29/28/18/25 is going into the group. After eliminating about eight candidates, I ended up doing another final four and got one that I think has five IVs in the 20s (Speed is the low one). (Oh, and yes, ANY Pokémon can go to the DW from a registered card; Victini is a very common one people send to Dreamland, according to the Global Link site, but I've seen many others as popular in other areas as well.)
What I'm doing now is recharging the DS in question since I don't want to run out of juice while getting all the IV info. From the first 24 I've eliminated most of those with three low IVs or incredibly low Special Attack (there might still be a couple I left due to other really high IVs or with Sp. Att. being the lowest number but the rest decent), and I haven't eliminated any in the last eight generated. I sure have a lot of Liechi Berries in SS now, too; too bad those items can't transfer!
Later today I'll list them six at a time, assigning a letter from A-X to each. This will correspond to their organization in my box (A-F, G-L, M-R, S-X in respective rows, if you're wondering), and I will promote a couple I like to the final group myself (yes, those are still available to you, they're just going on my transfer list for W2). What I want to do is have you select a top four, and if any differ from mine, it will still fill the six (I can import other Pokémon anytime). You don't have to trade for all four, either; I'm just trying to help the selection process, and then when you decide I'll have them narrowed down. :) (This is turning into a reality show...the Pokémon Bachelorette. LMAO)
I'll take a peek around my SS PC in case there's other things of interest, as well; for instance, if EVs aren't a concern, I could get a VGC Shiny Eevee or a VGC Crobat. I also have a Shiny Milotic code that I haven't used yet myself, though it's in the AR.
For now, back to finding employment again. :)