How would reem-EYE-ell be truer to its Hebrew roots? You shouldn't go with Hebrew pronounciation in English - for instance
Michael in Hebrew is mee-khah-ell - in the Bible, with stress on the last syllable, and with stress on the first for people today. This is nowhere close to the English pronounciation (MIE-kull).
Gabriel is gahv-ree-ELL (closer to
Gabrielle than to
Gabriel) and
Remiel would be reh-mee-ELL (at least I'm pretty sure it would be - I've never met one).