Rather than ideas for a new SeriousRP gamemode I actually have a couple of ideas for generic Gmod gamemodes °u° :
DeathTrap:
PVP FFA, all players begins with various weak weapons but can purchase an assortment of traps (landmines, tripwire, turrets, etc.) using points, the point of the gamemode is to kill all the other players using the various traps. As fewer and fewer players remains more powerful direct weapons are unlock, when only two players remain alive they are given insta-kill weapons to avoid a stalemate and finish up quickly.
Manhunt:
Team-based PVP, the majority of players start as "Preys" in the center of the map, they are unarmed and must reach the exit of the "Hunt zone" (a spheric area surrounding the spawn that covers most of the map), while the other players are the hunters, armed with various weapons with a high firepower but low cadence, they have to kill the preys before they escape. The preys can eventually find various one-use melee weapons (stones, shives, etc.) that allows them to insta-kill the hunters if they manage to get close enough. The game ends once there are no more preys or hunters alive in the Hunt zone, the winner is the player who totalized the highest score for their squad, the preys get points by escaping faster and without being damaged and by killing the hunters, the hunters on the other hand score points by killing the preys (bonus point for headshots, less points for finishing a prey previously injured by another player).
GodMode:
One vs All Survival/PVE, during the prep phase before the actual game all players must prepare prop barricades and set up various utility objects like weapon closets, ammo boxes, medkits etc., there are only a limited amount of different props to be used and each of them cost points. At the end of the prep phase a player is chosen randomly to become "The god" (the type of god is also determined by chance), there are various different deities a player can become and each of them has different powers, for instance the god of death can summon zombies while the god of water can flood the map with leeches-infested water, each power has a cooldown that depends on how powerful it is. The objective of the "Mortals" is to survive until the time runs out while the "god" has to kill them using their power, the god's power can hardly kill players on their own and must be combined to get most effective results.