Sounds like you just need to find a game speed which you are comfortable with. Patience is a key trait of a winning poker player. If you really can't sit still for even a few clock ticks, then maybe play a game with less players (like 6 max) or something.
The only other thing I'll mention is in response to these parts:
"If I've got ten/king....I'd like to see (1)
what comes of it before putting money out. All to (2)
often, I fold as my stack is short, the flop comes and (3)
I would have had the nuts."
I broke it down into three sections I'd like to add to
1) Understandable you want to see if you "catch a little something-something" as Daniel Negreanu says. I just want to highlight the (perhaps obvious to some) fact that it is difficult to make a good hand in poker, so most of the time, that means you won't have a lot.
This means you'll have to occasionally be betting your draws or
bluffing etc, or you won't be catching actual strong hands that often. On every single flop possible, statistically, you'll catch a piece of the flop about one third of the time. It becomes exploitable if you ONLY and ALWAYS bet if you have a solid hand and fold the rest. In this case, the opponent can profitably raise every time against you and just fold when you continue because more often than not, they'll get you to fold.
2) Perhaps look into some shorter stack play. Yes, this means shove-fold guidelines too, but here I was thinking slightly deeper. You don't want to be about 20 big blinds deep and invest 5+ blinds into a hand and then be forced to fold it. Losing 25%+ of your entire chip stack is almost never correct. You should always be considering what to do if the opponent shoves All-In. When shorter stacked (but not necessarily shove-fold), you ideally want to be even more selective about which hands to open-raise.
Hands with post-flop playability, but not so great preflop should be avoided, because you aren't likely to get to the River without being put to the decision of All-in or Fold. Hands like KJ or QTs are easy folds in these spots - whereas they may be playable deeper stacked.
3) You'll overcome this feeling with experience, but you can't judge a decision by if you would have hit the cards or not. You have to base the decisions off of the situation, math, strategy etc. and not by results.
Let us say we have JJ (pocket Jacks) UTG position and we get involved with an isolated pot with the BTN. Now for whatever reason, you know the opponent on the BTN has AA (pocket Aces). Perhaps you have a strong live read, some obvious tell, or perhaps they are showing you their hand face-up; what should we do with our hand?
Fold clearly. JJ is a strong preflop holding, but their higher pocket pair is roughly an 80% favorite against our holding. The "correct" decision is to fold. Simple. Assuming we knew their hand anyway. Poker is easy when you know what they have
Now what if I switched it a bit? Same situation; you have JJ and they have AA, but now you know what the board runout will be! Who knows how you know (Vision? Intuition? Hopefully, the game isn't rigged), but you know. The Flop is going to give you Four of a Kind and a lock on the hand! Do you fold the JJ now?
The "correct" play is still a fold based on the information you have available at the time. The players are the same, the math is the same and the situation is the same. The only thing we don't know are what cards (board runout) are to come. If your cards were to hit or not doesn't matter, your bad decision could win, or your good decision could lose and that is how it is for everyone.
All you can do is make the most informed decisions you can with the information you have available at that time.
Hope this wasn't too long and hope it helps