I agree that they should not seem like a Hanes shop unless the goal is to get acquired by Hanes. If that were the case, I would instead focus on selling gillette manpacks and getting acquired by Proctor & Gamble (they have more money).
Hanes has a great wholesale program which made it the most logical choice for launching our business. The brand offers great value, but not for everyone -- we are looking to expand our offerings in the coming weeks.
Have you looked into the American Apparel wholesale pricing? I bought from them a few years ago (only tshirts) and yes, their prices were higher than Hanes, and while the quality was only marginally better, customers assumed they were much higher quality and were willing to pay much higher prices.
I'm thinking some Lightspeed Briefs would go over well too.
this idea has been around for years there are a ton of sites doing this. Google around, I'm sure you'll find one selling the brands you want.