I recently paid £60 for an LX2800 in excellent condition which was probably slightly on the high side but it was fairly local to me and the remote was fairly new and in mint condition. You would struggle to get anything like that much if you don't have the remote. I paid £12.50 for my LX2502 in less good condition.
Unless you are struggling for space it would be far better to keep it for use in a back room/bedroom as it is still a great TV but won't fetch all that much.
Simon