[kvkcnxyr] Strategically choosing round-robin seed

The pairings of a round-robin chess tournament are announced, but with numbers and colors only: Player 1 plays white against Player 3, etc.

Next is a stage where actual players are assigned numbers, perhaps they each select their number according to some priority ordering.

What position in that ordering is most advantageous to select your number?  You probably want more whites than blacks, and want white against players for which the color advantage is most likely to make a difference.  Select early to get more white; select late to know what color your opponents will play; select early to deny rivals favorable pairings.

Within the constraint of maintaining near color-parity (at most one game extra of a color) among all players, there are many possible assignments (I think) of colors to games.  Are some color assignments more strategically interesting?

Given a color assignment and pairings, there still remains a free variable of ordering the games.  The organizer might want a higher probability of an exciting finish.  The public wishes to avoid players being in a "king maker" situation with incentive to throw a game.  Conversely, perhaps a player wants to potentially profit from being in such a situation.