The seating distance from a 50" flat screen TV is 6-17 feet. A lot depends on the viewing angle--do you have to raise your head to see it or not.

I'd at least try putting the TV where you are planning, on the wall next to the fireplace. Then put the sofa on the wall opposite, under the windows, if that doesn't block the entrance to the room.

Or leave the sofa where you have it in your plans, and mount the TV over the fireplace, on a bracket that lets you move it up and down and angle it. You can store the related electronic boxes in a cabinet elsewhere and use an RF remote to operate them.

Ordinarily, I'm not a huge fan of the TV over the fireplace, but in this instance, given all the constraints this room has, it might be the best solution.

I would probably put the television to the right of the fireplace in front of the single window which I would cover with draperies or shutters. Then, the sofa could go on the long wall across from the fireplace and the chair could float at one end or the other, whichever works best. Small stools could go between the fireplace and the coffee table for extra seating since they wouldn't block the view to the fireplace or the television.

Sofa under the windows:

I run into an issue where (on paper) it's not quite wide enough in the room for the chair on the short right hand wall, but angling it this way at least allows for a conversational grouping, maybe? And we'd both be able to sit on the sofa together to watch TV. Good suggestion!

Hmm, how did the dogs get in there? ;)

Sofa under the windows, chair angled. Then see if the traffic patterns will work for you. Are both doors behind the angled chair used a lot? You may need to move the chair a bit closer to the table. I would consider using the end table as a coffee table (in front of the half of the sofa nearest the fireplace). If you need something in front of the whole sofa, consider getting one new thing: an oval or round coffee table.
Just try things out. My living room looks more crowded on a plan than it seems in reality. So that can happen.

What about putting the television in the corner between the windows to the right of the fireplace. Sofa on the long wall opposite the fireplace. I can't visualize beyond that. lol.

Fun2BHere -- In our current living room, we did exactly that (covered a window entirely with drapes and positioned the TV in front of it), so that's an option that we can do again, if nothing else works out!

cloudy_christine -- The question about traffic usage is a good one, and the answer is purely hypothetical at this point as we're still waiting to close. The door two doors you asked about lead to what will be Nate's home office (on the south wall) and the other goes into a small hallway that has the first floor bath, with my laundry area, and then into the kitchen. So I imagine there will be a fair amount of traffic through there.

k9arlene -- I had that same thought, and it was actually my first choice for the TV because it seems like a natural place for it. That wall is only a few inches wider than 4 feet, and the TV itself is exactly 4 feet long. So it will fit -- barely -- but without actually putting the TV up in person, I'm not sure how it will look. The wall the TV is on in the diagrams is nearly 6 feet wide if you don't include the fireplace and hearth projection, so probably closer to 5 feet of actual wall space.

Thank-you everyone for trying to help! It's a puzzle for sure, but at least I have a few things I can try out.

Does the sofa have to be centered on the window to look right? That is crowding the the upper corner when the chair isn't angled. If it and the coffee table could slide a bit toward the corner, looks like it would work better.

If you want to try sliding the sofa down the wall a little, you could try this. It's worked for me a time or two.

Divide the wall into thirds. Take the two thirds down by the fireplace wall and center the sofa in that 2/3 of the wall. Then center some other small thing in the remaining third of the wall--a tall plant, a shallow curio cabinet, even some floor lamps will work.

By dividing the wall up and centering two things in each space, it looks deliberate, not as if you just shoved things where they will fit.

Although I have a hunch you will just have to get some of the furniture in the room and spend an hour or two moving it around to see what works when you are actually in the room.

The tv in my family room is the way I've suggested -- putting it catty corner between the windows. My tv actually covers part of both windows as they meet in the corner. It looks perfectly fine. I wouldn't worry if the tv extends a little over the windows. Visually, I don't think it's going to be an issue.

In my experience, it is best to have lots of possible arrangements on paper then try them all. The first time I arrange our living room after moving in I thought I had it all figured out, then when time came for actual placement I found out there were other considerations that I had not considered on paper, so I ended up spending hours rearranging instead of the one hour I originally planned. :)

Yep, when I showed this to my husband he basically said the same thing. Print them all, and then try them out after we move in. Just waiting to close at this point!