How do I remove a Faction (specifically, the Stronghold) from the available options entirely?

Yeah, Orcs are like that... I also thought that Warlocks with the Hive were the coolest - any magic, cool creatures... until I played a balanced battle against the Orcs.... The Orcs simply crushed me without a chance, with all my magic.... and I probably beat anyone with mages, without any particular problems... that's how it is....

I knew there would be such answers. There is no dispute that in Uber difficulty, Orcs are overpowered, but in the reality of our games, they won't reach that level. It wasn't even easy for them on Hero difficulty, let alone higher. Even with the Goblin upgrade and some improvements to Orcs and Wyverns, it didn't get much easier for them.
---
*The point is not only what the Orcs are like in the original, but also the specifics of the mod and the matches themselves. Shifted difficulty levels (Hero is now instead of Recruit), essentially zero economy at the start (zero on Torment). Even more neutrals and a Full Lobby (all "non-living slots" are filled with AI, and it has unlimited resources and, on Torment, double growth). In general, the game is no longer so much PvP as it is PvE, where there is room for diplomacy with other players and much more. + Harassment/hit-and-run, here it is a strategy (and without it, it would not be realistic for Warlocks to play), so large armies are only found with the AI. The player rarely has more than 3-4 creatures in their army by the end of the game (even if they adjust the rest, there will be too few to survive - at most, they can be used as fodder, defending against the next rush.
And yes - in the Lobby, the game is played on Randoms (Race and Heroes. You can only choose a bonus and on new difficulties, there is something to think about! On the old Heroes, we always took "Art" )

Added after 13 minutes
In general, the mod originally arose as a "balance patch", with the aim of improving obviously weak and unpopular units, but later the idea took hold and the changes went deeper. We have been playing Heroes almost since its release, since the first add-on and that very "intro". So, obviously, after 10+ years of playing, having probably played on all the original maps and many created ones, having played 100+ games on the same Warlords, you gradually want variety. I remember that at one time we tried to balance Pikers (pre-bans of races/heroes and the like), but it still turned out to be so-so. So, over time, this turned into playing on Randoms - as a more fair option. Well, when you play hundreds of games on Randoms... and try out every hero in the game, you don't need to be very smart to objectively notice the "weak" ones, or even completely useless ones.
Why don't we play or didn't play with mods? We just like everything "original", not always "someone else's" creativity or game balance will be well received. For example, getting acquainted with the EVA Mod left many questions, including regarding the balance of this "mix", although there were objectively useful functions in the assembly...