One day, I am randomly teleported to somewhere else where I meet some aliens. These aliens are very technologically advanced and after figuring out communication, we establish a rapport. The aliens, being the benevolent type, want to help me get home, and, as luck would have it, they have a portal device which can spontaneously open a stable wormhole across any distance.
Unfortunately, the aliens don't know where Earth is, and I'm reasonably certain that I'm still somewhere in the milky way--I used to have a photo of the galaxy as a desktop wallpaper and I recognized it when the aliens showed me.
- The Aliens are isolationist and almost all their data about space was gathered with telescopes. As such, data may be hundreds of thousands of light years out of date.
- The Aliens have mapped every single star and most larger planets (in the Milky Way) telescopically. More specifically, if you knew which entry was Earth's on their database, it would show detailed information about the Sun along with stating that there are two gas giants (with mass estimates) and between 4-8 other smaller planets.
- The aliens haven't received any radio transmissions from Earth (I am apparently over 200 ly away)
- The aliens are willing to teleport out probes to search for radio signals or take a closer look at a some systems but their generosity is finite--they won't saturate the entire galaxy to find Earth.
- My knowledge about the solar system is at an above average highschooler's level. I can list and describe planets in the Solar System, I can identify or approximately draw several constellations, and I know various random trivia such as the fact that the Moon's apparent size is the same as the Suns'. I don't know any exact numbers like planetary masses or diameters and I don't know anything about the specific type of light the sun gives off, although provided with examples, I would be able to tell what light temperature "feels right".
What search strategy should the aliens employ to find Earth as fast as possible and with the least amount of probes?