What is the project related to? I take it this is probably going to be a completely brandable domain. If you have no problem with your budget for website development and promotion, excuse me for asking, then why so stingy on your domain acquisition budget? Just asking?
I would probably focus on a longer .com. For me personally, I could go from 5-10 chars. But of course the shorter the better. But longer is preferable, if you get a better domain. Don't be so hung-up on it having to be only 5 or 6 letters. Branding a .net, you need to be very skilled. I can think of ThemeForest.net as an example.
Personally, I would not be putting my project on a .net of any kind. Stick with .com. If it's going to be just a website shared with a few friends, then a CVCV.net would be just fine. But if you hope to attract a wider audience, perhaps your whole country or the world, you should be on a .com.
You should still visit those auctions I mentioned earlier. And at Nabber too, but you are going to hit a wall searching for previously registered available 5/6/7/8/9/10 character .coms
If you are looking for 2 keywords, then
www.leandomainsearch.com, is a pretty good place for finding available .coms. It might give you some ideas too.
Or. Just add a prefix/suffix to the subject of your project. theproject.com or projecto.com for example