'fi' is one of the standard ligatures found in fonts where the arch of the 'f' would collide with or be too close to the dot of the 'i'
But what about the situation when the 'i' has an accent in place of the dot? For example, consider 'fī' (that is, 'f' followed by 'i' with a macron, which turns up in transliteration of Arabic) in Minion Pro Regular and Italic (with the usual 'fi' ligature for comparison):
Clearly, in both Regular and Italic the macron on the 'i' is too close to the arch of the 'f'. My first reaction was that kerning should be added, but then I realized that this the 'fi' ligature exists to avoid this for 'f' and (unaccented) 'i'. I found that kerning tends to leave an ugly gap, and it looks strange not to have the horizontal stroke of the 'f' joining the 'i'.
(1) Do there exist fonts where ligatures exist for 'f' and an accented 'i' (any accent, not necessarily a macron)?
(2) Is there any consensus on whether such ligatures should be used?