Font with Phonetic Arabic

I am a historian, and not an expert in fonts, but I am frustrated. I am looking for an English font that has the equivalent phonetic letters to Arabic letters. Eg. A heavy T with a dot under it, a dhall or d with a line through it, etc. Is there a font similar to Garamond (for publishing purposes) that has all of these characters?

EG: Sa’īd Ibn Ḥusayn changes his title to Imām ’Abid Allāh al-Mahdī Billāh.

I find myself using multiple fonts to find all of the different characters I need. Is there one font that has them all? Perhaps an Arabic font that contains them? I prefer to purchase it so that I can use it regularly.