Yet another method is using the Sun both as a power source, and a gravitational lens to focus the beam on a ship in transit. Starshot is limited by the laser array size. The probe quickly gets too far to maintain beam focus.

So instead you build your laser array near the Sun, where power is plentiful. To start with you aim the beam directly at the vehicle. When it gets too far you switch to a relay mirror at ~800 AU. The Sun bends light by its gravity. In this case it makes a lens with a 2 million km diameter, which gives you astounding resolution.

The beam is used by the ship to power a particle accelerator. The first part of the trip the accelerator is pointed aft to speed up. Later it points the other way to slow down. Going the other way, your communications will be focused back to the relay mirror, so you can get data back.