I guess it doesn't matter a whole lot if it triggers at upkeep or not.
Haha do you mean that it doesn't offend your inner designer to make the change or that it has no impact on gameplay, because I can assure you, it matters a whole lot to change it.
While you can add the extra 2 lines of text to have it enter with a counter for 3 mana, it does make the card FUNDAMENTALLY WEAKER. Maybe if it cost 2 mana?? Either way, you don't want to play this on turn three or later anyway. Best get it down early and try to sway votes.
You've given me a great idea for a card by the way.