The thing is, you think OOC thoughts but give IC speech. So to give IC thoughts as speech you need to either be really into the game or just arbitrarily decide what valuable information to spill. The later, less the other PCs understand, will look like you are trying to ruin the game for no reason. You have to make sure they understand, fill your conversation with unimportant thoughts, and probably do the noble move a remove yourself from tense negotiations.

Ask if you can get an ability for your handicap - say the ability to Detect Surface Thoughts of others, just for erm... just for giggles.