Can we have just one division with no trades? Must we all compete against the savvy traders? I feel like I'll be swimming with sharks.
I don't know if this will ease your concerns or not, but the impact of a trade made by two teams on the rest of the draft is being greatly overstated. Assuming the committe does their job and keeps the trades fair, each team is giving something to get something and shouldn't run away with any advantage. A trade should be to move up to get the player you want, to get into a more economical position to get the player you know will fall, to put a pair of picks together to grab a tandem, or to "cash in" on someone else who wants to do that. If you don't trade you won't be any worse off.
And who knows, maybe you'll like trading. I got right into it right away, and I don't think I was hosed. I stared down veteran GMs and demanded better value, and got it. Now, they still did better on the deals by drafting way better than I did (and I had no vision for the picks, I was just trying to get better drafting positions), but they would have done that anyway.
The "no-trade conference" idea is the least popular right now, with just 6 GMs ranking it first. We'd have to knock one out to make it a no-trade division, or get four other teams to join their ranks to make it two. But the idea should probably just be taken off of life support at this time.