The pronunciation for brev https://commons.wikimedia.org/w/index.php?title=File%3ASv-brev.ogg
b - trilled r - eh - v
I can't think of any really good word where the Swedish 'e'-sound is used in English. It's the same as the German 'e', and the same sound can be heard when some people from Wales, Scotland and Ireland speak English (e.g. in the word "break", which is more or less pronounced "br-eh-k", and "heat" - almost like "h-eh-t"). The 'e'-sound used when the TTS says 'brev' is fairly good (even though the ending 'v'-sound in that word is bad).