Pretty much the same as OP, but for Miqo'te I do as many others seem to and start with a 'me' sound instead of 'meh', the way most languages pronounce their vowels. Usually when I want to be sure, the Japanese katakana version of the name will clue me in to the way it was intended.
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Looks like Phe beat me to the Japanese tip while I was typing mine. But yeah, the apostrophe serves as a stop, resulting in that kind of double consonant sound.
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As long as we're sharing bad pronunciation stories though, I knew someone that said Jeuno from XI as 'juu-EH-no'.... just... wrong (I always figured it as similar to Juneau, Alaksa). Then again he also though the word chaos is pronounced as 'cha-chos' somehow....