So let's see, what does this actually require?
1) The ship needs to be bigger than the Monsoon, however maximum mass is capped at 1,700,000 tons. Allegedly the Lyrans are trying to build a monster ship even bigger than that, but Hegemony intelligence isn't taking that too seriously.
2) More mobility than the Monsoon
3) More protection than the Farragut.
4) Similar transport capacity to the Monsoon
5) The finest technology available to the Terran Hegemony (as of 2582) is not only available, but encouraged. Show these upstarts what the technical and industrial might of the Terran Hegemony can do.
1 means 1,310,000 tons to 1.7 Million, a reasonable tonnage range for battleships. Notably, the Farragut is already a 1,680kTon ship, so coming in under that displacement would be a feather in your cap.
2 means a Farragut class engine...but also combined with 5 suggests that this should be our first L-F battleship. No Farragut has that ability, and while ten Monsoons were historically refitted, there is no proof that's been done here. The need for cargo and
3 means we are using ferro-carbide for sure, since that's what the Farragut already uses, but more of it. Maybe more SI too, but since the Farragut is already well protected...yeah, you can't do a lot here without cutting damage output.
4 means a lot of cargo space 'almost three hundred thousand tons', but also at least 6 dropships, 8 smallcraft, and 36 fighters. A Farragut also carries 10 smallcraft and 36 fighters, for reference.
5 means...well, not a hell of a lot. There's no recent developments in naval weaponry to take advantage of. It's all gonna be the electronics suite, outside of that LF battery. AMS don't exist yet and Hegemony doctrine doesn't put them on capital ships yet anyways. What we might put on display are next-gen small scale weapons, by building for but not with pulse-lasers, gauss rifles and other gee-wiz systems. Oh, and that LF battery.
As is my remit, I'll try to make a minimalist design here, something that can be mistaken for an actual Monsoon.
edit: It can't be mistaken for a Monsoon.
Mistral Warship
Mass: 1,520,000 tons
Technology Base: Inner Sphere (Advanced)
Introduced: 2579
Mass: 1,520,000
Battle Value: 91,344
Tech Rating/Availability: E/E-X-E-X
Cost: 28,862,039,000 C-bills
Fuel: 6,000 tons (15,000)
Safe Thrust: 3
Maximum Thrust: 5
Sail Integrity: 7
KF Drive Integrity: 30
Heat Sinks: 2266 (4532)
Structural Integrity: 95
Armor
Nose: 250
Fore Sides: 275/275
Aft Sides: 275/275
Aft: 200
Cargo
Bay 1: Fighter (36) 2 Doors
Bay 2: Small Craft (10) 1 Door
Bay 3: Cargo (280000.0 tons) 2 Doors
Ammunition:
90 rounds of AR10 Killer Whale ammunition (150 tons),
90 rounds of AR10 Barracuda ammunition (90 tons),
90 rounds of Heavy N-Gauss ammunition (45 tons),
90 rounds of AR10 White Shark ammunition (120 tons),
180 rounds of AC/20 ammunition (6 tons)
Dropship Capacity: 6
Grav Decks: 2 (100 m, 100 m)
Escape Pods: 50
Life Boats: 75
Crew: 66 officers, 349 enlisted/non-rated, 33 gunners, 122 bay personnel
Notes: Equipped with
lithium-fusion battery system
1 Naval Comm-Scanner Suite (Large)
1,863 tons of ferro-carbide armor.
Weapons: Capital Attack Values (Standard)
Arc (Heat) Heat SRV MRV LRV ERV Class
Nose (50 Heat)
2 AC/20 14 4(40) 0(0) 0(0) 0(0) AC
AC/20 Ammo (30 shots)
2 Naval Gauss (Heavy) 36 60(600) 60(600) 60(600) 60(600) Capital Gauss
Heavy N-Gauss Ammo (90 shots)
FRS/FLS (749 Heat)
2 AC/20 14 4(40) 0(0) 0(0) 0(0) AC
AC/20 Ammo (30 shots)
3 Capital Missile Launcher (AR10 Launcher) 60 6(60) 6(60) 6(60) 6(60) AR10
AR10 Barracuda Ammo (30 shots)
AR10 Killer Whale Ammo (30 shots)
AR10 White Shark Ammo (30 shots)
3 Naval PPC (Heavy) 675 45(450) 45(450) 45(450) 45(450) Capital PPC
RBS/LBS (900 Heat)
4 Naval PPC (Heavy) 900 60(600) 60(600) 60(600) 60(600) Capital PPC
ARS/ALS (689 Heat)
2 AC/20 14 4(40) 0(0) 0(0) 0(0) AC
AC/20 Ammo (30 shots)
3 Naval PPC (Heavy) 675 45(450) 45(450) 45(450) 45(450) Capital PPC
Aft (74 Heat)
2 AC/20 14 4(40) 0(0) 0(0) 0(0) AC
AC/20 Ammo (30 shots)
3 Capital Missile Launcher (AR10 Launcher) 60 6(60) 6(60) 6(60) 6(60) AR10
AR10 Barracuda Ammo (30 shots)
AR10 Killer Whale Ammo (30 shots)
AR10 White Shark Ammo (30 shots)
I started out with a Monsoon-sized hull, cribbing weapons from the Farragut when I could but the NPPC battery despite being rather light for capital weapons, broke my weight budget after the 280000 ton cargo bay I cribbed off the above design. The missile launcher trios were upgraded to AR-10s, but they were also left with only 3 tripples overall, and my tertiary battery is just 12 AC/20s standing by to be upgraded to Gauss Rifles.