Geoffrey Sayre-McCord (1988), for example, views moral objectivism as one species of moral realism, but not the only form; on Sayre-McCord’s view, moral subjectivism and moral intersubjectivism are also forms of moral realism.
There are also a number of contemporary writers that affirm the paradigmatic view. These writers, not surprisingly, trace their views to Aquinas as the major influence, though they do not claim to reproduce his views in detail. (See, for example, Grisez 1983, Finnis 1980, MacIntyre 1999, and Murphy 2001.) (http://plato.stanford.edu/entries/natural-law-ethics/#TheOptForNatLawThe)
Arguably the Stoics were natural law thinkers, but they seem to deny (4), holding the right to be prior to the good (see Striker 1986).
The Platonic version of the view has struck many as both too metaphysically ornate to be defensible, on one hand, and as not fitting very well with a conception of ethics grounded in nature, on the other. While the Aristotelian version of the view has also been charged with some of the metaphysical excesses that the Platonist view allegedly countenances, most contemporary natural law theory is Aristotelian in its orientation, holding that there is still good reason to hold to an understanding of flourishing in nature and that none of the advances of modern science has called this part of the Aristotelian view into question. (For defenses of such Aristotelian accounts of the good, see Foot 2001, Thompson 1995, and Thompson 2004.)