Update: I have managed to get something close to an orthography for Gothic using the Arabic alphabet. However, before I do so, I will need to test out some fonts to make sure that the board can handle them. If you want to know what they are (so you can check your computers to see if you have it installed), the fonts are Calibri and Arial Unicode MS (since the university upgraded to Office 2007

and thus making Calibri the default font for MS Word).
A couple of pointers:
*I'm assuming that the alphabet will be written in the Nastaliq calligraphic style. However, I'm introducing a difference whereas the original Arabic "kaf" and the Persian/Nastaliq "kaf" co-exist (the original Arabic "kaf" has been assigned a different phonetic value). As such, the Arabic "kaf" can only be used in final or isolated form (it does not join with other letters).
*I'm also using Western (Standard) Arabic numerals in the orthography, even though it's just as likely that Eastern Arabic numerals (as per Ottoman Turkish, Farsi, Urdu, et cetera) would be used.
*Also, I know that people are going to kill me for using Wiki as a basis for research, but in order to figure out the sounds of Gothic, I Wikied Gothic, and it gave me some semblance of the sounds (from what has already been reconstructed, as meagre as the original sources are, though in ATL there may be more) of the language.
*I can already tell you that there is going to be MASSIVE redundancy with some of the letters because the sounds in Arabic do not exist in Gothic (for example, the emphatic consonants of Arabic).
*All sounds given will be in the International Phonetic Alphabet (IPA). Phonemes are written in between slashes //; however, if one is willing to have a go at Gothic dialects, then the corresponding sounds should be written in brackets []. However, I'm not focused on dialects, so I will use slashes //.
*Finally, in order to get things to work out the way I wanted it, I more or less had to adopt the mindset of someone writing the language in the Arabic alphabet. In order to do that, I had to be a bit creative - after all, if I was a Gothic man and I was writing my language down (say, a letter to my girlfriend asking her to marry me, for example), I would want to make sure that what I wrote would be something that I could understand. Let me tell you, though, it's not easy - especially with the Arabic alphabet, which is mainly a consonantal script where although there are symbols for only three vowels, they are not usually written down (an exception being the Qur'an). So, to adapt the language to the alphabet (and, for the most part, aim to go for a one-to-one correspondence between sound and letter as much as possible), I borrowed letters from Farsi, gave some letters different phonetic values, and borrowed a letter from Ottoman Turkish. The vowels were the most difficult part. Thus, although the way I handled the letters might drive some people like Leo up a wall (which I know he will for my treatment of one of the diphthongs in Gothic), to a Gothic person it would make sense.
Comprendez-vous?

Good.
EDIT: This is the font test:
https://www.alternatehistory.com/discussion/showthread.php?t=103178