As noted by Eric above, someone has been working on setting a record of everyone's picks up

. Our team has tracked the picks made by each team at each event so far. We'll be placing those into the Draft Schedule document.
Our team agrees with Joseph's second plan: Eric can be the main decisionmaker, along with a committee of three people (based on the number of drafts run and the teams which they are on, would include JosephC, MARS_James, and myself) who can also veto a trade.
1 hour deadline seems late to submit trades. I'd go with three hours (trades submitted by 4pm, approved by 6pm), but that's all details, not implementation.
With a screening panel, we do not believe in the idea of a hard cap on trades via a tier system. We think that limits activity between teams in a way that unreasonably restricts talks. However, we also have no problem with one or more of the members of the veto committee using it as a basis for their veto/acceptance, if they think that is the best way to evaluate a trade.
Randomization well ahead of time does not seem like a serious obstacle and can be tackled in a variety of ways, none of which is a detriment to the operation of the league. Therefore, we are firmly among those who would like to see that happen.