Okay, here are my random thoughts:
Tim is sharing this info because it may lead to finding Haleigh, which is his goal.
Ron is clearly not a fan of LE, and has a strong belief in not talking to them. That lack of respect and almost disdain is apparant from the 911 call that started set all of this in motion. I think that is part of the reason he is handling things the way he is, not that I agree with it, just acknowledging that that attitude exists and contributes to the choices he makes.
Ron telling Hank Sr about 35k could certainly be true. Anyone that has been part of a really dysfunctional family knows how hot and cold these relationships run. One day they are going to kill each other, the next day they are drinking together. Makes no sense but happens all the time.
The 35k could be funds for a search, could be a drug debt, could be Misty's drug debt.
Misty and the washing of the blankets that were not washed: I do wonder if the dirty clothes in the dryer is just a misspoken word and they meant the washer is filled with dirty clothes.... but if they were picked up off the floor and shoved into the dryer than someone was staging the scene. Clearing the path to the door, making the beds, replacing blankets. That is why she mentions them when it doesn't make sense on the surface. That blanket is probably with Haleigh, it is probably what she was carried out of the house in, and it is likely something Ron would notice was gone, or grandma would have noticed was gone... therefore we get the overly detailed story about the blanket.
Tim can reveal any of the info he chooses to reveal. He is the client, so if he wants to discuss what he has discussed with his attorney that is his option. If the messages were left on his voicemail then the person who left them knew they were being taped, they are fair game too.