The largest and most famous SCA event every year is Pennsic War, in which the largest events are battles of various sorts.
According to most of my friends who go, Pennsic is more about the shoppy store and bardics galore than the fighting, tho' the fighting is the
official reason... I can say that the war I go to, Antir's Acorn War, has a lot of fighting, but there are also arts and sciences activities, plenty of shopping (20-ish), multiple bardic circles, a group putting on period style plays - two shows on Saturday - plus multiple courts.
Pennsic is the largest
annual SCA event; I've heard that one of the anniversary of the incorporation events was larger. Still, it's freaking huge.
It's also worth noting that several RPGs are SCA influenced...
RuneQuest and
Chivalry & Sorcery both are explicitly influenced... but it's also important to note that RQ and C&S are both reactions to D&D by individuals who fought in the SCA in the late 60's to early 1970s... There are others as well, but not as explicit. Tourney and Perrin both were SCA participants; Stafford was at least occasionally at SCA events. Wilf Blackhaus was a member of the Order of the Chivalry in the SCA. Most of the fans of C&S I've known were also SCAers.
The Riddle of Steel was at one point endorsed by the HEMA organization (a non-SCA historical reenactment coalition. Historical European Martial Arts), and was developed by HEMA practitioners including some who participated in the SCA as well.
I'll also note: both Diplomacy and Frei Kriegspiel are fundamentally wargames, and are the cornerstones from which the Braunstein game grew.
I think the wargame derived RPG was practically inevitable... character scale wargaming (1 fig=1man) was on the rise in the late 60's and early 70's, and sooner or later, something like the boardgame
Wizards which are functionally RPG-adjacent would trigger a crossover.
Might have taken a few more years.
Edit to add - side note: in researching this answer, I discovered Avalon Hill had released some odd things, like a "Black Magic Ritual Kit" and "Witchcraft Ritual Kit"...