To keep in short in simple,
I'm running a blackhat-ish Adwords campaign that's been generating $XXX/day. The affiliate terms say first of all, not to send paid traffic to a link (which I'm doing) and also not to use the words "coupon", "save", "discount" when promoting your link (which I'm also doing).
They haven't caught me yet and they pay out every month. (The affiliate program is none recommended or showcased by STM btw).
I'm worried if I do get caught, they could possibly sue me, or rather, my LLC; especially if I were to somehow get un-noticed for 'X' amount of months/ years and generate a up a hefty affiliate commission.
What's the worst that could happen?
EDIT: The affiliate terms also say something along the lines of, "any affiliate found to be violating these terms will be removed from the program and all unpaid payouts will be removed"
XXX/day is too low to sue you. Just make sure that they pay you very fast because the moment you get caught I'm confident all your pending payments will get suspended.
That being said, I would also recommend to find a way to run traffic whereby you respect the affiliate program's terms and conditions. That will make you the most money in the long run.
BTW. What affiliate program doesn't allow paid traffic??
This is a legal question, and as far as I know none of us are lawyers. Questions like this will depend heavily on things like the jurisdiction you're in and the affiliate program is in.
You can pay for an hour of a lawyer's time with one day of your profits. There's a good chance you can get a solid answer within that hour.
If you're concerned about legal problems, go talk to a lawyer. It's a good investment. 
This is the worst that can happen 
...which is a fair point.
When you're doing something you know is going to piss someone else off, it's always worth remembering that people are not always rational.
Sure, it might not be rational to bring a massive lawsuit - or indeed pick up a shotgun - over $15k. But that doesn't mean it doesn't happen.
The odds may be on your side, but "the odds are on your side" and "you're completely safe" are very, very different statements and it's important not to get confused between the two.
This also doesn't mean you should never piss anyone off. I would be a massive hypocrite if I was to suggest that as a life strategy.
But accurate risk projection is an important and useful skill, and part of that is understanding that humans don't always act rationally.