If I were you, I'd forget about the Beats Studio and pick either of:
Beyerdynamic DT1350, V-Moda M-80, and Sennheiser HD25-1 II.
All three have significantly better sound and build quality than the Beats Studio and are less expensive at $219, $160 and $199 respectively (Make sure you buy from an authorized dealer for the warranty).
After researching, and reading Joker's excellent "Shootout: 107 Portable Headphones" (See link below), I decided to get the V-Moda M-80s ($161 from Amazon, an authorized V-Moda dealer). They sounded amazing when I auditioned them locally, they are portable, and the lower impedance of 28.5 Ω vs the other two, mean I won't need to carry my Fiio amp with me. They'll be arriving tomorrow.
Shootout: 107 Portable Headphones
http://www.head-fi.org/t/433318/shootout-107-portable-headphones-reviewed-astrotec-as-100hd-as-200hd-added-12-02-12
For IEMs, I have the Etymotic MC5 and Brainwavz M2, which sound very good for the prices I paid. Both are solid all-arounders, and amped the MC5 even sound decent for hip-hop (but I'm not a fan of bass heavy IEM). They do require a good seal or the bass will be light (Shure Olives my preference).
I'm considering upgrading to the Etymotic HF5 ($96) or R-50 ($119), but I've been extremely happy with the MC5, particularly for the price and terrific isolation.
Two of the very best under $200 IEM are the Rock-It Sounds R-50 (dual BA) and the VSonic GR07 MK2 Pro ($179).
Of the ones you mentioned, the Sony XBA-1 (only $30) are a Single BA with good sound. They do have a flat J-cord that most do not care for.
Skip the bass heavy Klipsch S4 and look at the Klipsch Image X10 ($132) or possibly the Shure SE215 ($99). Both are popular IEMs with sound signatures that should be good for the music you've listed (classical however would be better with a more neutral sound signature like the HF5, or similar BA, or the RE-400).
The SE215, like the R-50 and GR07, are over-the-ear designs good for working out.
The most helpful page for IEM reviews is the "Multi-IEM REview".
http://www.head-fi.org/t/478568/multi-iem-review-292-iems-compared-short-impressions-of-11-iems-added-08-09-13-p-745
If you want portable on-ear headphones, skip the Beats, and get the V-Moda M-80s. That said, I agree with the above about working out in pricey headphones, but for the price of the M-80s vs the Beats you were considering, you'll have close to $100 for a pair of nice IEMs for the gym, and a nicer pair of portable on-ears.
Best of luck, Markus