Damn...

Ok, to Tychred:
Try that command again, if you don't have the stratagem in your inventory ----> Player.additem 000f1491 1
Then try this ----> Player.Drop 000f1491 1
Then pick up the stratagem from the floor and see if the quest updates. Repeat (add with console -> drop with console -> pickup -> drop with console -> pickup ...) if not working, sometimes after 3 or 4 times he works. If yes, now try to speak with Aela.
If not, I guess you already try
setstage CR10 20 (after you add the stratagem with ----> Player.additem 000f1491 1)
or
setstage CR10 100
or
setstage CR10 200
to try finish the quest...
Also, this is a shot in the dark, but you can try this to force Aela to stay with the stratagem IF she don't give you the dialogue options:
Open console, then select Aela, then ----> equipitem 000f1491
to see if the quest updates.
You can also try ----> movetoqt CR10
before you have the stratagem (or remove it from your inventory with ----> player.removeitem 000f1491 1)
And you will be teleport to the marker of the quest, and see if the stratagem is there... Perhaps the stratagem IS THERE, but you don't see him because it can be down in the floor or beyind a wall. So....
Try this then ----> tcl
...to remove toggle collision, and search for the stratagem around the marker (up, down beyond the floor or the wall, etc)... If you see them, pickup it , go to a "normal" space in the game, a little above to the ground and ----> tcl
...again to add toggle collision again to your character.
I have no more ideas for now, I'm sorry.
EDIT: Don't forget to backup your savegames, please.