The long technical answer:
Downloading to Alternate Locations tooltip wrote:When multiple cards instruct a player to place a downloaded card somewhere other than in hand (i.e. at a mission, on top of deck), these will resolve in the normal order of response actions. Moving the card to a location other than hand will not affect its final destination. Example: A player downloads a ship per the text of Commandeer Prototype. His opponent has Bo'rak, Klingon Intelligence Agent in play. In this case, the card will go to the top of that player's deck and then into play at Commandeer Prototype.
If you have both
Valkris and
Bo'rak, you would choose the order in which they happened. You might as well choose Valkris first, just in case they forget you have Bo'rak and give you the draws, because the card will end up on top of the deck anyway.
Adding
Morka to the mix makes things a bit more interesting. You could in theory have either Valkris (or Bo'rak) place the card on top of the deck, have Morka move it to the bottom of the deck, and then the Bo'rak (or Valkris) would move it back to the top of the deck (and you could trigger Morka again, but now you've wasted cards from hand). To avoid that situation, you'd want to use Morka on the second trigger. In that regard you have two options:
1. Use Valkris first. The opponent has no reason to let you draw cards, so the card is placed on top of the deck. (Or they screw up and give you two card draws. If so, hey, free cards.) Use Bo'rak. The card is placed on top of the deck again, and Morka triggers to move it to the bottom of the deck.
2. Use Bo'rak first. The card is placed on top of the deck. Use Valkris. The opponent has the choice: let you draw two cards, or risk Morka moving the card to the bottom of the deck. If they let you draw two cards, the card they downloaded will be on top of their deck.
The short answers:
With just Bo'rak and Valkris, the card will end up on top of their deck.
With Bo'rak, Valkris and Morka, you can choose either 1) force the card to the bottom of the deck, or 2) make your opponent choose between the card going to the bottom of the deck or leaving it on top of the deck and letting you draw two cards.
"Save your strength. There'll be another time. The princess - you have to take care of her. You hear me?" -Han Solo to Chewbacca, ESB