Kaito KA228 is $10 amazon prime now. Very basic shortwave radio.
SDR's are fun for playing with but firing up a PC and dicking with dongles and upconverters just to listen to random SW?
OP just get a cheap SWR and hook a random wire antenna up to it. As long and as high as possible. Insulate it form metal things and stay away from powerlines.
Is your interested in listening to comm's from ham's, military, and aircraft then you will need a radio that does SSB (USB/LSB).
Maine has 100,000 watt WBCQ.
http://www.wbcq.com/You should be able to hear them with a coat hanger. They have programs on pirate radio and other interesting stuff sometimes.