Those gadgets are far and few in between... at least, something that has everything you want is hard to come by. I will see what I can find and post again if I come up with anything.
I originally bought this one for my 2nd gen touch and it really cranks for it's size, basically fits in the palm of my hand... i bought it for $110 (i know pricey but it met my needs perfectly for portablility and sound, it was a gamble that actually paid off) great battery life... DOES NOT HAVE AM/FM (BUT I USE RADIO APPS) AND NO REMOTE.... but for speakers that are the size of a silver dollar it really sounds great....
i just bought my mom one for Christmas and it's down to $50.... WELL WORTH IT IMO.... LiveSpeakr on Amazon