My accursed Eve SSTO

[Single stage to ocean]

This monstrosity starts at 15 km at 110 m/s with props, and uses vectors till 2700m/s, where oxidizer runs out.(Real headache is the careful fuel balancing, and I usually throttle down right before exhaustion to keep the gimbal of vectors enought to handle flipping, the COT went in the wrong place). Then NERVs the rest of the way to orbit, with 600m/s left on orbit. Dunno if it could get you to Gilly with a touch more of LF. I hate this monstrous creation, but it works. Full stock, and it is shamelessly reverse engineered from @realseek.

Spoiler

Slain the evil monster with this draggy-looking monstrosity, that actually isn't at all draggy. Point to 10 deg, activate rockets, and when you reach 420m/s point prograde. Then fuel balance carefully, and use NERVs for circularization. Make it use fuel from the back tank first to prevent it from getting too maneuverable and flipping, and throttle down to 3% if it starts going off prograde, and fix the fuel flow issue ASAP. Then NERVs will bring you the rest of the way to orbit(Of course, set the throttle to 100%) and then dock or refuel and go to Gilly.

 

[Single stage to ocean]

Remember the pendulum rocket fallacy, keep COM ahead of COT. Use Mechjeb to visualize COM, COT, and COL. Possible to fly fully stock however, not as easy though.

[Single stage to ocean]

missing in the pic is a probe core and 4 large reaction wheels, and several clipped elevons.