In sum, don't bounce unless you go with an experienced diver who understands the physiology and has some emergency diving experience.
Quinn, by friend, this is a conversation to be had at the 'Nest or Squaller Holler!
I admit that I have not read every post in this thread, but my guess is that the situation you are asking about was widely condemned and/or mocked... As one of the old farts around here, let me toss in a couple of thoughts...
Back in the good old days, 200' dives on air were common place, even in chilly places like our home base of Tobermory. Sometimes these were done on single steel 72s. I am not aware of any serious accidents under this scenario. I'm not even aware of any "Come to Jesus" moments, although I'm sure it's possible and indeed likely that they occurred.
The dive you are "proposing" is what I would call an "if'n" dive. If'n nuthin goes wrong, you live. If'n sumthin goes wrong you die. There's not likely a whole lot of middle ground.
Also, narcosis affects people differently, and individuals are effected differently at different times. "Narcosis can be fun" some say, but as many will say that it's terrifying... the so called "Dark Narc". A certain Instructor that we both know and who may have just bought a dive shop readily admits that he is a mess at depth.
A single tank at that depth (200'ish) holds lots of gas from some people. For others, it's not enough to make it back to the surface. Depends on about a zillion factors.
As you probably know, there are lots of people routinely doing pretty deep dives (170' +) on air around Tobermory. I don't think you will find any doing those dives on single tanks and without redundant regs etc.
All in all, a 200' dive on air on a single tank is very doable. Or it might kill you. Either way, it's dumb.
I would also point out that the difference between a 200' dive and 300' dive is a lot more than 50% deeper... the risk is exponentially greater. On the right day, for the right reason, I would still pop down to 200' with doubles and all that stuff. I wouldn't give you the time of day to even "think" about a 300' dive on air.
And finally, I think geography plays a big roll... doing a 200' dive in a 3mm suit in Cayman is a lot different than doing it here, in a drysuit. The gas demands are greater due to the greater buoyancy change with depth, and the drag is greater, increasing gas use... and on and on...