Alright, thank you to everyone who helped me with figuring out the DeltaV calculations, they really helped with this, I've been getting sick of the tediousness of trial and error of developing pad-assembly rockets.
Now introducing the Tsar Launch System
Designed to launch over 1000 payload tons into orbit, I now have more fuel than I could ever need.
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It's fitting of its name too, as it is a Kingly rocket, and also paying homage to the Tsar Bomba, the most powerful explosive of this planet (Gotta love the explosive rockets).
I started with the TTV, the Tsar Transfer Vehicle, with two monstrous payload bays intended to be used for housing buildings on their journey to Saturn. The Ship itself isn't designed to send the payload to Saturn, but will instead be attached to an ion array to propel it on its journey. (TTV pictured in the previous post)
I then created a core designed to burn for a longer period, but not to lift the TTV into orbit on its own. That's where the calculations come in.
I knew that I needed to get to a TWR of 1.2 in order to have a good launch, and I knew that the side boosters would have nine engines each, leaving me with 7500 tons of thrust at liftoff. The calculations kinda just made themselves from there, and I got to a great rocket out of it.
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Once I got a booster blueprint in SFS, I could get a fuel weight and from that a DeltaV, which actually turned out to be 2650ish. That alone isn't enough to get the TTV into orbit, but it doesn't have to, as the TTV has 600 m/s of DeltaV to kick it into orbit.
First Launch: Nearly got into orbit, but had issues with seperation due to the docking ports, and didn't get into orbit outside of the atmosphere (overshot the Apogee)
Second launch: Too shallow of a launch and more issues with seperation. Time for a fix.
Third Launch: Fixed the seperator issue using added seperators, and got it into orbit.
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Considering it's at its max payload mass, and I'll likely never launch that much again with the rocket, I now have a workhorse for my Saturn endeavors.
Extra Picture:
Was doing some no grav testing, and this thing looked kinda awesome floating above the launch pad.
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I don't think I forgot anything...