Like I've said it just might be me, but I got tired of Polos a long time ago. I'm pretty much a fitted button down kind of guy now, but I've started buying a couple of short sleeve because if everyone is rolling up their sleeves on a normal button down, why the hell not?
If you have a slim but athletic build, I'd recommend: H&M (Zara if only in Houston) Brooks Brothers Slim Fit Ralph Lauren Custom Fit Sunspel J. Crew Hugo Boss
Just last week I bought a couple polos at Banana Republic and I'm very happy with the purchase. Good fit, comfortable, and no logo. They were having a huge sale the other day and I got them for around $25 each. No shoulder bump issues.