In 10,000 years, you will be deflecting from your path. The deflection will become more extreme for the ensuing 7,000 years, but then stabilize as your gyroscopes re-orient. In 30,000 years you will be orbiting the Sun at a distance of 1-1/3 light years in 750,000 year cycles.
Any aliens who ever found you would already be on our doorstep.

The reason no time travelers have come our way is that time travel initiates a new timeline ... until there is no difference between the states of the launch and target timelines. Any terrestrial time travelers would find themselves in a solar system in which the Earth is an uninhabited icy rock world between the orbits of Mars and Jupiter.
Draw your own conclusions.

This reminds me that the evil scientists of MST3K once developed a product of sexy printed briefs they called "chinderwear" that was to be worn on the chin.

We praise Allah for our modern conveniences!

Injun trouble!