Missing Hebrew vowels in LuaLaTeX

Question

Since I had some annoying warnings with XeLaTeX and Polyglossia, I tried my luck with LuaLaTeX. Unfortunately Polyglossia simply returns a complaint in a warning:

Package polyglossia Warning: Hebrew is not supported with LuaTeX.

(Any ideas in comment are welcome to fix this!)

So I tried the bidi feature of babel:

\documentclass{article}
\usepackage[nil,bidi=basic]{babel}
\babelprovide[import=en-GB,main]{british}
\babelprovide[import=he]{hebrew}
\babelfont{rm}[Language=Default,Ligatures=TeX]{Times New Roman}
\babelfont{sf}[Language=Default]{Times New Roman}
\babelfont{tt}[Language=Default]{Courier New}
\babelfont[hebrew]{rm}[Script=Hebrew,Language=Default,Ligatures=TeX,Contextuals=Alternate]{SBL Hebrew}

\begin{document}
Random text.

\begin{otherlanguage}{hebrew}
בְּרֵאשִׁ֖ית בָּרָ֣א אֱלֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ׃
\end{otherlanguage}
\end{document}

However, this way some diacritics are missing in Hebrew (in this case the dagesh in the shin):

How could I fix this strange mistake? I'm using MikTeX 2.9.7219 portable on Windows 7 64 bit, everything is updated as of 2 days ago.

_{The reason for using the Language=Default option:
Language 'Hebrew' not available for font 'DejaVu Sans' with script 'Hebrew'}

_{The reason for defining serif and mono fonts even when not using it:
Why babel produce warnings about \rmfamily and \ttfamily with \babelfont}