Ovis.. We have like 18.....million Versions of Screw your Neighbor, But the BASE way is a Bit dirfferent them how y'all play it. We start with 4 Quarters. The KING ends the game from the Get go. The Jack is the One that stops it if you like. Aces are the Lowest like you said.
Here are a few other versions that We've made up to modify it. Indian Poker Screw your Neighbor... Don't look at you card but look at everyone elses. this sucks for the Person to the Left of the Dealer as Aposed to usually being the good spot.
2 card Screw your Neighbor. This is the Same but can have millions of Varieties, we usually play Flip your Lowest one. You have an AWSOME time if the Person flips like a 10 or something. then you know they have a good hand. We also play that a Jack stops it and a Natural Pair is like Flipping a King on the One hand Screw your Neighbor.
We also play with the Joker, A new twist. If someone has the Joker it Reverses it so the HIGH hand sucks. HAHA !! Cool when someone flips a King to end it and another person flips the Joker.. BUUUUU YAH !!!! HAHA !!
We sometimes speed up the Games by saying thr 2 low go out. Sometimes lunch doesn't provide alot of time.
We also play 2 card Screw your Neighbor with the High and the Low going out. Total New Stratagy. Be carefull jsut passing one card in this one. Aces are handed out Frequently
HAHA !!!
Let's see. we've played 2 card Indian Poker Screw your Neighbor with Jacks being able to Deny... so If you want to pass to someone with a JAck and a 3 lets say, It sucks because you might get the Low card. Jokers Make a pair but they are not natural. The person passing never tells if the person giving has a Jack either. That way they don't know ever until the round is done.
We've played Screw Your neighbor 2 high go out. Not all that fun, but with 3 people the Best game is Middle goes out. Sometimes a q is in the Middle and Sometimes a 3 is/// Fetchin FUNNY game. It's ALOT of luck. But most of it is anyways.
Screw your Neighbor with 3 cards is anothe game. We play Straights flushes and 3 of a kinds. with 3 cards It's easy to get a Flush. We usually don't flip any cards over in this game.. jsut pass one,two or three cards. you can Still deny with a Jack and Pull the jokers or leave them. MAny options.
In a 3 card game it is Easier to get a Flush then a Straight but since the Rules of Poker is Pairs, Straights, flushes, Boats Ect, we keep it that way jsut for the Ease of remembering it.
2 card Screw your Neighbor can be played with Flipping NO cards, Any card, or lowest card...
Ahhh Another game we made up... Screw your Neighbor Random UPPY !!!! HAH A awsome game, Take the Deck flip half the cards over and shuffle them in, the person dealing jsut deals normal and If the card is Up it sucks to be you. Sometimes you know the Outcome of the hand before it's over... We sometimes flip the Jokers Down so they are always down and reverse that the high person looses. that way its WAY WAY WAY funny when someone has a Q showing and doesn't pass to a guy with a 2, who is blocked by a guy with a Jack and then the Guy with the Q looses when the Guy with the Joker flips his/her card !!!! HAHA !!
Anyways... We have 11 billion versions, All are fun, We might have to play a round or two Sometime Ovis... Not that I'm good or anything, But I like to play
vis
Good thing is I still get those $20 free beers when I am in town. 
