OK, well, I have a cheap cotton blazer with a shawl collar that I dig. It's a nice variant on the standard safari jacket:
But it works (and I realize even that is debatable) because it's light in colour and very casual. I think you could make a suit like this if you were going with cotton and some kind of khaki or dove grey. But you're talking about getting one in navy, which is about as business as a colour can be. It sounds a bit fail.