How do you re-route a Range's vent hood exhaust?

We had an addition put on and the original exhaust was blocked by one of the new walls. We told the contractor that we would convert our vent hood to a filter, but now we want to vent it. Problems are directly above the exhaust is 5 feet from a corner in a bed room. Directly 90 degrees away is in the dining room that my wife doesn't want to modify.

I'm thinking of going 90 degrees the inward direction, the 5 feet to get to the corner in the bedroom and then up to above the new edition's roof line. The inward direction has open cabinet bulk head.

Will it end up with too many turns in the exhaust? Describe the best process for starting and proceeding, then finishing the job. I want to evaluate if the job is too much for my skills. If I do this job myself and I do it well, will it effect the value of the house a lot or only a little, if at all?

Answers:
This is really hard to answer without seeing exactly what you are talking about. My first thought was to suggest venting directly through the wall as opposed to running the vent to the attic, but if I read this right, your dining room is behind your stove wall? And directly above is 5' from the corner of a bedroom? I assume this to mean that directly above the stove is open floor and the nearest wall is 5'? If this is the case then, running the ducting horizontally 5' is acceptible. Ideally, you'd want as straight a shot as possible, but if your only option is to make a bend here and there, then thats all you can do.
The difference between venting a range hood and say a fireplace or furnace, is that the range hood is fan assisted to help the exhaust around any bends whereas a fireplace or furnace has to rely on the principle that heat and lighter than air gases rise, and thus need a relatively straight upward vent to accomplish this. Also, a range hood vent is just a convienence, meant to carry away heat, grease and cooking smells, nothing toxic.
Just make sure that your ducting is secured to the framing wherever it makes a bend and that all seams are thoroughly sealed with duct tape and you should be fine. As far as the skills needed, about all I can think of is you are going to have to do quite a bit of drywall patching and then re-painting. If you aren't that good at drywall, you can always run the duct yourself, then hire someone to patch the drywall.
Hope this helped.

EDIT:
Hi KC, I read your additional details and really don't think I can add much more without looking at your kitchen and house. You can take some pics and post them on photobucket.com, that might help.
All I can really add as of now is, it sounds like no matter what route you take, there is going to be multiple twists and turns, but being this is only a range hood vent, it really shouldn't matter, as long as the ducting doesn't take any steep downward turns.
A shorter route you might consider is, running the duct over to the plumbing wall (kitchen sink wall) and going up from there. The kitchen sink needs a relatively straight upwards vent (to vent sewer gases and allow the sink to drain properly), so if you can get your duct over there, you should be able to follow the same path as the kitchen sink vent. There are two ways this may be possible. One, if the stove and sink are opposite each other, you can run your duct through a ceiling joist bay over to the plumbing wall, then up to the attic or roof from there. Two, if you have soffits above your cabinets, you can run the duct through the soffits until you get to the plumbing wall, then up.
One last option is to call out some contractors for bids. They will be able to see, firsthand, the best option for the ductwork. Once they give you their proposals, you can politely decline, then use their plan yourself. Or, if it seems like it's too much for you to handle, pick the best contractor to do the job for you. This may sound shady but it really isn't. People do this all the time. The contractor knows that his coming to bid may be a waste of his time, but gambles that once the homeowner see's whats involved, they'll be inclined to pass on doing it themselves.
If this still doesn't help, theres nothing more I can add without pictures or blueprints. Best of luck -Jon

Other answers:
drill a hole through the wall and put it there or vent it through the rof to the top of the house
drill a hole through the wall and put it there or vent it through the rof to the top of the house
That is quite a long way. I would recommending checking the specs on your range hood or the one you are going to put in. Normally it states in the directions how long and how many turns you can have. Depending on how much cooking you do, you may try a ventless hood with a charcoal filter.
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