I think that you are on the wrong track with the Bose. In addition "no amp" and "no open cans" greatly limit your options. Open cans can provide the sound stage that is so important for watching movies (among other uses).
Given your requirements, I would be tempted to stay under budget and get a CAL!, Sony MDR-V900HD or KRK KNS 6400 or 8400.
Thank you for the reply
Oh, in that case I think open cans would be ok. I've thought that basses are important for movies, and I've heard that open cans has issues with basses.
In that case, considering that still it will be, unfortunately, used without amp, I would be thankful for any additional help.
Though, I hope that open cans won't be heard in neighboring room...
Also, can you explain please, what's wrong with Bose AE2? They wouldn't work good without amp, or not so good for the movies as other possible headphones?
Fact is that, especially without an amp, you're very unlikely to get "everything" for $300 or less.
Were I you, I would get the open Audio Technica ATH-AD900, Sony MDR-MA900 or Senn HD 598.