I can empathize with your situation. So often coal or wood stoves are added to rooms that were not originaly designed to have a free standing stove in them.
I can see making a small compromise to avoid major construction expenses, but in the long run I recommend looking at the room the stove is to be installed in as a blank floorplan. Don't be influenced by where someone else had their stove. Since you are going to remodel the room anyway, this approach is even more practical for you than for someone who is just adding a stove and doesn't want to do any other work to the room.
I don't ever recall being sorry that I spent the time labor and money to do something right or just the way I wanted it done. I have had quite a few regrets when I did make the "git 'er done" quick kind of decission.
Without views and dimentions of your entire stove room I can't make specific recommendations for your stove placement or installation. Please don't take offence but I will be blunt- I can't help but believe that your current hearth location is about as poor a spot as it can be.
Your stove is in front of your door, closer to your window than convienience appearance or safety would dictate and the stove pipe requires an offset. Comming thru your roof that close to the eaves means that you have a lot of exposed chimney pipe outdoors getting cold, and perhaps looking not so good, instead of single wall stove pipe inside radiating additional heat into the room and saving money on the pipe itself (cost of single wall vs. double wall stainless).
Look at your room as though it had never had a stove in it. Where would you put the stove if you were installing one for the first time? Remember windows and doors can be moved. Do the job the very best way you can now and the cost and labor will soon be forgotten and the installation will long be enjoyed.
An old guy who used to cut corners and now at least tries to do the job right.