If you have a low-rated player that generally loses quickly then one more option is a cross-round pairing. Give the round one bye to a player other than that player, and then, after the quick loss, re-pair that round one bye against the fast loser that will be playing a round two game.
Example: three round event having five players (A B, C, D, E in descending rating) with D being a player that plays quickly, often losing.
Round one A-C, D-B, E-bye is later changed to Round one A-C, D-B, E(round 1)-D(round 2) and assume the higher rated player wins each game.
Round two B-A, C-E, already played E(round 1)-D(round 2)
Round three give the tentative bye to C and then pair C (round 3) against the quick playing D (playing an extra round, or playing as a second iteration of player D).
This requires a player that plays quickly AND all players being there for every round. It was a common practice in our Chicago suburban scholastic tournaments until a few instances with players entering late or leaving early that resulted in round one having an odd number of players and round two and later having an even number of players. In that case a cross-round game in round one to avoid a bye that round resulted in having to continue to use cross-round games in every round (a Rd1-Rd2 game, a Rd2-Rd3 game, a Rd3-Rd4 game, a Rd4-Rd5 game, a Rd5-extra game) instead of just giving a round one bye and having all of the other rounds with no byes.
If A is your fast player in your three round events then if A generally wins you might even consider
Round one A-D, E-B, C-bye becoming A-D, E-B, C(Rd1)-A(Rd2) and Round two B-C, E-D with round three A-B and alternating the round three bye between D and E from event to event.
This is a very different bye allocation than normal so you would need to let the players know about it in the advance publicity.
Finally, if you do not have players that usually have quick games then the cross-round pairing option can often severely damage your ability to have rounds start on time. And even having a player with usually quick games you will eventually have a tournament where either the rd1-rd2 game gets a late start or the rd1-rd2 game runs long. If the normally quick player has a long-running round three then you might not be able to get your desired Rd3-extra game in, resulting in a round three bye.