Then I began to sense these puts could be traded instead of someone selling me their stocks, I hoped anyway. Sensed that many people in options were option traders not necessarily stock owners.
That quote alone shows some lack of understanding of options and how they function but you were pretty loaded in a very risky strategy. I cannot believe that you suddenly realized options can be traded or "began to sense it". They are listed on exchanges and bought and sold daily. If you did not know that or your broker was unaware of your lack of knowledge well I would be worried if I were him or her about his job and Series 7 license.
I find it odd that your broker would allow you to trade that heavily in short options with such little knowledge, except in the case where the puts were cash backed or your other securities in the account were worth more than the naked liability (which is limited/measurable on short puts).
Add to the fact that you basically kept rolling a naked option deep against you to buy time to avoid assignment hoping the market came back is something that many brokers would not allow unless you had plenty of cash or holdings already sitting in the account. Because if your losses were large and you could not cover the margin, the broker would be held responsible for allowing you to do something like that and putting the firm at risk for that loss (yes it is a miniscule loss for the firm if they had to cover it but they hate losing money).
Your statement "If the stock is put to me, I get it for 15%+ less that today's price. " is true but does not take into account if the stock at the time of assignment is down 30 or 40%, then you are still in a losing position and only real option is to sit on the stock and just buy and hold. Which is fine if you have all the time in the world like most buy and hold investors do.
There are many ways to use puts and calls but your only basic knowledge of how options work means you should learn more before selling short puts (even if cash secured) because all you are speaking of is the best case scenerio to justify your investment and ignoring all the risks.