Another biblical name in which orthographic aa corresponds to a spoken weak vowel is Canaan ˈkeɪnən. For variants of this latter name, see my blog, 6 March 2009. Although we may sometimes have ˈkeɪniən I don’t think we ever get *ˈaɪziək, although you might logically expect that we would.
Another, non-biblical, name currently in the news is that of the Russian-American author Ayn Rand. I first came across her Atlas Shrugged when I was an undergraduate. Appalled at her advocacy of selfishness and contempt for altruism, I was not a fan. In those days we gave her first name a spelling pronunciation, eɪn. I note that nowadays people are pronouncing her aɪn, like the German indefinite article or the letter of the Arabic alphabet. Indeed, this is what is given in the Oxford BBC Guide to Pronunciation and in Merriam-Webster’s Collegiate, not to mention Wikipedia. Since her given name was Alisa (Алиса), it is not clear where Ayn comes from, or whether it is English or Russian. Presumably it is a Russian hypocoristic.