If you wanted to minimize sunlight, you'd want to put a telescope at L2 [1], which is in fact where the James Webb Space Telescope will be deployed [2].
It's launch was recently pushed back from March to October of 2021 [3] (or [4] for non paywalled version)
[1] https://www.space.com/30302-lagrange-points.html
[2] https://en.wikipedia.org/wiki/James_Webb_Space_Telescope
[3] https://www.nytimes.com/2020/07/16/science/nasa-james-webb-s...
Edit: I think I misread the table I was looking it, it's more like 2x or 3x instead of 10x, and that assumes a start from LEO
https://en.wikipedia.org/wiki/List_of_objects_at_Lagrangian_...
Perhaps for radio astronomy?
Or build it on the far side, near the poles, with a solar array just across the pole -- perhaps that way you could have solar power all year long.
Earth is a source of noise throughout the electromagnetic spectrum, so I think the benefits of building on the far side (eliminating Earth noise), will likely outweigh the costs (limited/more costly bandwidth).
I think a mixed array, consisting of "radio" and "light" telescopes could present very interesting possibilities, especially because you could dynamically allocate sparse sets of the array to different tasks.
All of that being said, I am an engineer (with an interest in array signal processing), not an astronomer.