Just about anything from GE or Sony is going to have decent reception.
The only thing that local / DX switch does is break the connection to the antenna (the RF input of the chip in your radio goes to the switch and stops). Cheap and effective.
I found out, though, that the way they make their antenna is to use the shield in the headphone wire. It is RF isolated by an inductor, but is still very effective as a ground at audio frequencies. They connect the shield to a bandpass ceramic filter that covers the whole FM band, and that goes to the local / distant switch. I was only interested in distant, so I just pulled the switch and ceramic filter, and connected a 31 inch wire to directly to the RF input of the chip. The thing came alive with stations - MANY more than the distant position before. The other thing that surprised me - NO images or overloading from locals when I was in the city. Apparently - something about the whole shield as antenna going into a wideband ceramic filter is causing those images. I have no idea why. I could care less that I have a wire hanging out of the walkman - its not a fashion statement.