Albeit having limited field of view the Arecibo Telescope was very sensitive[2], and so could see pulsars that the other telescopes they used could not. And the longer they could collect data from a set of pulsars the lower frequency waves they could probe.
[1]: https://nanograv.org/news/15yrRelease
[2]: https://pirsa.org/20100068 Moving Closer to a Detection of nHz-frequency Gravitational Waves with NANOGrav (Arecibo details at around 10:20)
https://en.wikipedia.org/wiki/Five-hundred-meter_Aperture_Sp...
The uniqueness of Arecibo was this transmit coupled with such a large aperture (so small pattern on sky).
the Sun? that's something I never thought about, and now that I'm thinking about it, still seems very interesting. It seems like there would be so much noise radiating from the burning ball of fusion that radar signals would just get absorbed/lost. And now I've sat here for 5 minutes doing nothing but imagining this.
Although it's emission (due to the transparence of it) is not just a disk but sometimes increases on the limb depending on frequency, http://a.superkuh.com/solar-disk_relative-brightness_vs_sola...
Here's a diagram of how the ray paths from an Earth based radar reflect from the soft target that is the sun, http://a.superkuh.com/what-solar-radio-looks-like.jpg