Nice thread! In my humble opinion:

1) Your assumptions about villain's range

I think people fail miserably at this point. It only makes sense to come up with a strategy if you assign your opponent a range of hands. And its specially important to add this because your assumptions might be different from that of those who are answering. Also, not thinking about villain's range and posting a HH expecting a made answer is not going to improve your thought process.

2) Any relevant information about the hand

Timing tells, notes, stats, population tendencies, anything that can help people validate the assumptions you came up with at 1).

2) How you think you should play your range vs the range from 1

People often think too much "in a vaccum". But nlhe is a game of range vs range, and the way you want to play certain parts of your range will affect how you want to play other parts of your range. This is also important because you might get different points of view from people who play other parts of their ranges differently.

Also, putting effort into the description of the HH encourages people to answer with higher level posts (at least in my case). When someone just dumps a HH without exaplaining anything I don't feel any desire to give input.

Improving thought process > solving the specific hand. Use the hand as a tool to improve as a player, don't get stuck to the hand itself.

Results ;D