indikit , any nano-clone on ebay would be able to fit most of your requirements. However, the part on the battery life would be a case-by-case basis. So it entirely depends on your luck to get a player with a reasonable amount of playtime.
However, you can get players with better battery life from
Uxcell.com instead. Their installed batteries generally are of reasonable quality, and other models offered by them features removeable nokia batteries.
If you are looking for a large screen player,
houseofdap.com offers the Teclast C260 with 2.5" screens. It also has touch sensitive keypads, similiar to the LG Chocolate mobile phone.