A few details on how we did a single-elimination match play event. As a few others have discovered, I'm passionate about it and will write a treatise, if given the chance. Of course, I make no presumption that you should do it our way; only offer it as food for thought.
Ours was a 1-day event. We had Pro & Am divisions, capped at 32. No age-0 or gender-based divisions because there's no point in having any small divisions.
We did it in one day, and it was all head-to-head match play (which is intense). We did it on a small course with a fairly centrally-located HQ, which helped with the repeated dispersing of players.
The first round was 18 holes, and each subsequent round was 9 holes. A 9-hole match play round is very intense, trust me.
One problem with a single elimination is that players are reluctant to come, knowing they may be eliminated in an hour. So we solved it this way:
After round 2, at which point 75% of players have been eliminated, we had a free-entry, random-draw, captain's choice doubles among those players. Part of the entry fee went to the payout for these doubles. So they played their doubles on the course at the same time the remaining contenders were playing rounds 3 & 4. (The doubles was 18 holes, the bracket matches 9 holes each). Then everyone comes off the course, in time for the 9-hole Finals (which is only 1 group). We' pay them off, and they could stay and be a gallery, or leave.
The great benefit is that everyone is guaranteed at least two full rounds of play, so it's worth their attendance.