There are currently some issues with the rest toss is being defined. Since it is the toss card, not the card being tossed, that targets the character being tossed on, toss has an implied decrease and sometimes implied discard ability. This means Agabus can interact with toss cards for infinite instant recursion of Peace. Furthermore, it means Colosseum, not the card being tossed, is harming a toss target, so any card that is triggered off being targeted by evil cards will trigger off a toss of a good enhancement, which sounds weird.
The alternative of having toss target hand or deck is still problematic for the same reasons, just worse.
Another problem is the case of a card eligible for toss that also has interrupt ability, allowing it to be played during special initiative and potentially fizzle a battle-winner. For this reason, my personal best interests are served by leaving things the way they are, but I propose a third alternative.
Consider the way CBI/P/N and cards that grant that ability interact with cards being played. The playing of a card is inherently CBN. To be continued...