Hi RS.
I don't know the Sony ICF radio. Does it have SSB capability?
For a shortwave receiver SSB capability will let you pick up hamateur radio transmissions both voice and Morse code.
I Use an Eton G3 for travelling and am extremely satisfied with it. Its a bit beyond your budget and rins from an external 6v supply, not 12v
A quick e-bay trawl found this which is in your price Range ( actually under £40)
http://www.ebay.co.uk/itm/TECSUN-PL-600-...337e0e5633
Its specifications are almost identical to the Eton. It could be a good gamble.