All postulates, or rather principles, which I accept, as you said, are
the principles of classical physics. Einstein himself denied the
postulates of GR. And the postulate of physical laws equivalency in
inertial and non-inertial frames on which GR is based is a groundless
stupidity. I do not suggest people to choose. This is the right of
each. Only they may not offend after that all constructions like
relativistic will be crumbled to nothing in the first touch of logic of
classical phenomenology of physical processes. ;-)

If speaking of my propositions, we have them five full volumes of
original studies without repetitions. The fact that colleagues in
newsgroups are able in respond only to bleat as rams or to swear as
cobblers, changes nothing, but makes senseless my attempt to answer
your question more completely. ;-) If I see a serious approach, I will
reply more seriously. ;-) In brief - read SELF Transactions:

http://selftrans.narod.ru/cover/cover.html

Sergey