- Single PCI slot - only using one bracket
- Max. 180 mm. in length
- Nvidia GPU
- Great performance in games
- Silent - preferably without aftermarket cooling
I'm afraid you're not going to get all of those things at once off the shelf. Something like a GT610 with a passive cooler will fit and fulfill most of those requirements but the bad area will be performance in games. There have been some passive GT640 cards from Zotac but tehy're too long. The way I look at silence, no fan cooled card is silent because the fans have to spin so much faster than the 500-800rpm 120mm fans which are totally feasible for most system components.
You're up against it in that case I'm afraid. You can't fit a big aftermarket passive cooler as there isn't the length and the drive bracket at the bottom of that case will also get in the way. Did you originally intend to use the Q07 for gaming at all? I really do think that you're not going to get much of any modern card in it off the shelf, let alone one with great game performance and silence at the same time.
If you are willing to mod to achieve silence and don't need the bottom drive mount then I would remove the bottom drive mount, cut a 120mm hole in the bottom of the case, mount a 120mm fan to it at 5V, then install a GTX650 or similar with the stock fan removed. This will be a quieter setup than the standard fan.