I think my problem is that "draw from the bottom of your deck" seems contradictory. Either you draw a card, or you put the bottom card of your deck into your hand. When i read Diving Bell, i immediately assumed it would put the bottom card of your deck into your hand, which lead me to say you can choose to ignore the -1 card token (you'd draw, and instead choose to do something else).
Storyteller is sequential and below average design in my opinion. The fact it appears to give you coins and instead removes them alone kills it for me. Either way, simply specifying the target might be fine.
Well, it already states clearly that it's still "draw" and not "put into your hand". I think my interpretation is natural, but if not, it
could be "put into your hand" instead. In that case, it would always ignore the -1 card token and the token would just remain on top of your deck.
I personally like the way Storyteller is done!
What about a direct honest "flip your deck"?
Charnel
$2 - Action
Put a card from your hand to the bottom of your deck.
+3 Cards
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While this is in play, keep your deck upside-down.
FAQ: while your deck is upside down, for all purposes the "normal" top becomes the bottom and vice versa. The top card of your deck is visible to all players.
I think this is a fun idea that's worth exploring, but there are some potential issues that would have to be worked out. Most notably, there is the practical issue that you may accidentally reveal cards below the top card. Either you disallow that and put onus on the players to be extra careful about it, or you allow it and introduce a cumbersome dimension to the card where it's in your best interest to carefully examine and memorize the order of the rest of your deck.
Compared to the original draw-from-bottom concept, a deck flip gives you (and other players) persistent information about the top of your deck, but you lose the funkiness of drawing and revealing/looking from different directions, which changes some of the combos. I said earlier that some of my favourite interactions were Pearl Diver, Wishing Well and Ironmonger. So let's consider those...
Pearl Diver: Normally, you use it to move good cards to the top of your deck. If you ever find a bad card, you prefer leaving it there so that it misses the reshuffle and doesn't hinder your next turn.
If Diving Bell is in play, PD is more similar to Spy. If you play multiples, the inspected card will be drawn by the next card or it will be put on top of your deck for the next turn. Either way, you never get stuck revealing the same card repeatedly because you want to leave it where it is.
If Charnel2 is in play, PD plays similarly. If you run into a bad card at the "bottom" of your deck, you may want to move it on top so it won't be there at the start of your next turn. So that's nice.
Wishing Well: Normally, you make a guess. If you've tracked well (or if you're lucky), you guess right and draw an extra card. If you guess wrong, the next Wishing Well draws so you're guessing once more.
If Diving Bell is in play, WW becomes more like Mystic. If you guess wrong, your next WW won't draw that card so you'll be able to guess it immediately.
If Charnel2 is in play, you always know what the next card is, which means that you never have to guess -- Wishing Well simply becomes a Lab. Actually, it's better because you can optionally guess wrong and leave the card undrawn if you prefer that.
Personally, I prefer the Diving Bell version. Charnel2's buff to WW just seems like a huge jump in power, such that it could be really swingy depending on whether you get one in play early or late in the turn. But I can see why some people would think it more fun just to have the guaranteed draw.
Ironmonger: Cantrip, and then you get some light sifting and a random bonus. Good and simple.
With Diving Bell in play, Ironmonger can be a lot more consistent. If you reveal a card that gives you the bonus you want, you can just leave it on top and get that for all future Ironmongers that turn. I think that's really cool.
With Charnel2... it plays like normal.

Overall, Charnel2 combos slightly with any card that specifically cares about the first card of your deck, since you know what card it is before you play. It'll also interact with cards that care about the bottom of your deck, since the bottom will be the top next turn.
Diving Bell is similar, minus the revealed top card, but it also interacts with cards that put cards on top (e.g. Courtyard) and is generally more useful for setting up your next turn. Since that's the effect I'm most interested in, I prefer using draw-from-bottom. But I think the deck flip effect would be a cool direction for other design goals.