The real reason English spelling is frozen in the 1600s is that that is the last time all English speakers had a common language community. Since the foundation of the colonies, Englishes have diverged from each other from that starting point, so that no reform can be neutral to all current Englishes - some have merged what was distinct in early modern English (e.g. cot-caught merger); while in other cases what was a single class has been split (e.g. the bath-trap split). Wikipedia has a (non-comprehensive) table: https://en.wikipedia.org/wiki/Sound_correspondences_between_... note for example that even where two varieties have merged phonemes, they might have merged them differently (compare Southern American to Australian). You might try to come up with a spelling system that covers all possible combinations, but it would be then very hard for the speakers who have mergers (i.e. all of them) to use - how is an Australian supposed to know which äː vowels are æ in American and which are ɑ? How are the Americans supposed to know which ɑ's are äː vs ɒ in Australia? etc. etc.
If you mess up every vowel in an English sentence, everybody can understand every word, but it makes everybody a little upset and a little aggressive. If you want to play it safe, just make every vowel a schwa and people will think you're from New Zealand.