There's no renewed research so far on a South/Old North Arabian connection for Brahmi. As far as I know, I'm the only person who has noticed the otherwise unrecognised connections in the new data uncovered since Taylor's time.
So far, what seems to be the consensus is summarised in Richard Salomon's 1995 review article "On the origin of the early Indian scripts", which is available online at JSTOR (for free if you belong to a subscribing library). This is basically that (1) no recovered texts in Brahmi can be dated with confidence to before the mid 4th century BCE and (2) although no systematic relationship can be established between its letter shapes and those of any other single script, it seems likely it was patterned after a Semitic script, probably (for geographic and historical reasons) Aramaic. Arguments like these aren't generally considered sufficient to establish a relationship between spoken languages, so I am naturally skeptical of the established hypothesis (and also of hypotheses of native invention or development from the Indus Valley symbols).
I think the Safaitic hypothesis is worth a second look because of systematic correlations in structural elements between Brahmi-Old North Arabian letter pairs, precisely describable correspondences in certain letters (similar to the change from V to u etc.), and near direct correspondence between certain 'alif, 'ayn and ghayn variant shapes in Safaitic and Taymanitic-Thamudic and the Brahmi a, i, e, u and o letters. The argument is not overly complex but it does involve a bit of theory, which I am developing in my paper on the Nagari-Gujarati origin of the Sumatra-Sulawesi-Philippine scripts. Once I have finished this paper (which is very long and complex), I will have the basis to deal with the Old North Arabian-Brahmi theory.
By the way, I was wondering about the meaning of your online name. I managed to find the explanation online and sent you a Facebook friend request. (It reminds me of a guy I worked with long ago, a Chinese immigrant from South Vietnam, who called California "Kafitolia" and liked to dance "lat-si-ko" – which I imagine is just the pronunciation of the characters for disikuo (?) in his southern Chinese language.)
Yes, some of the calligraphy is very nice, and the best seems to be in the Meherji Rana library collection in Gujarat (though the Iranian Majles Library also has one or two nice specimens also). I am particularly interested in the Gujarati and Nagari script found in these documents because of my research. Some of the texts have the nicest Gujarati calligraphy I have seen, and they show a lot of variation compared to the shapes that became standard after the 19th century. You can actually see how the modern long ‹i:› letter developed from the older shape, and how the modern short ‹i› letter actually developed from ‹i:›, replacing the original short ‹i›. There is also a very different ‹e› letter related to the Nagari one, which was replaced in modern Gujarati script by ‹a› with the bound ‹-e› vowel mark that appears on consonant letters.