>>12326541Since no one else is being that serious, I'll play along;
Probe is going to use a kilopower reactor for its energy supply. No use for solar panels that far out and no reason to have them close to the Sun because of how fast this thing is gonna be yeeting itself out there.
For its method of travelling that far out, the answer is a plasma magnet sail. Offers huge delta V for moving away from the Sun, maximum speed of ~400 km/s. Stopping at Typhon appears to be a problem at first, but knowing giant planets, Typhon WILL have a magnetic field, and in fact it will have the biggest magnetosphere of all the planets, due to the Sun's magnetic field being so weak that far out. Plasma magnet sail propulsion would let us do full-speed transfers to Neptune, which has a magnetosphere that's big but definitely smaller than Typhon's would be. Therefore 400 km/s outward cruise AND a 400 km/s delta V braking maneuver at the destination are both viable options.
Depending on Typhon's position relative to the ecliptic plane, we may need to do an inclination change on the way out, which would be best accomplished by doing a gravity assist at a lower interplanetary cruising speed, then accelerating to top speed afterwards. Jupiter would be best for this, probably.
For maneuvers once actually at Typhon, the probe would use its reactor to power an HDLT propulsion system (if you don't know, likely to be the best electric thruster design, thrust beats ion drives and energy economy beats VASIMR).
As for lander probes, it'd probably be better to let those wait for mission number two, which need not be three decades later because the high speed trajectory involved here means it takes just about 6 years to travel the ~500 AU necessary. If mission 1 carries ten tons of scientific equipment for on-orbit study of moons and the planet itself, mission 2 can carry a ten ton lander, or four 2.5 ton landers, which would be mostly common in payload experiments and overall design.
