Večer
It's at http://bos.zrc-sazu.si/sskj.html . I think I have found out a way to judge whether there is a schwa but that will only work if there is a Slavic etymology. It seems that schwa only appears when there was a yer vowel (ь or ъ) there before, or as an epenthetic vowel to break up a group of consonants after a word-final yer was lost (like in dober). I also think that SSKJ assumes all unstressed e's are real e's, and notes explicitly when they are not.
Thank you for the link. I don't think you are right about SSKJ explicitly noting schwas. For example exactly the entry for dober [1] doesn't contain a schwa.
No but it is implied because the e drops in the inflected forms. It is targeted towards Slovenes who presumably are aware that only schwa drops in this manner, but true e will stay.
Although I don't know if schwa e always drops in inflected form, it sounds reasonable that it does. Do you know by chance what the second form (the inflected) stands for? For example for dober it reads: "dóber dôbra -o". Is it dual nominative? It remains as the only possible alternative when excluding all the invalid ones.