updated on 2023/10/03
Brill has published a font family for its publications. I admit I haven't looked closely at its legal limitations, but anyway, it's a nice step in the right direction: it has full support of Egyptian translitteration, including "Egyptological yod", made with i and U+0486 (as expected, the alternative with U+0313 places the accent above the "I", and not in front of it - this is indeed normal for a general purpose font).
You can find the font here : https://www.brill.com/brill-typeface
P.S. After a look at the font use conditions, non-commercial uses are allowed, such as "embed the document in a pdf or the like which is published on Licensee's website". Commercial uses are not, so for instance, it can only be used in books published by Brill.