I strongly dislike overhead lights in living spaces. They are not the least bit cozy, more like an office building or hospital exam room. If it were my space I'd figure out how to incorporate table and floor lamps in the lounge area(s) and either reduce or eliminate those ceiling cans. They're fine in task zones (kitchens, bathrooms) and areas that require excellent lighting (pool table) but perhaps reconsider them in main living space.

The electric heating coils will cost $$$$$. Just so you know. The cost of the finish should be in line with the cost of the renovation/house. It would be weird to spend $10/sf on the heating (which does NOT heat the room....only makes the floor feel warmer than ice) and then $2/sf on the finish. The stone isn't the expensive part either. It is the INSTALLATION labour. A porcelain tile over concrete can be laid (an expensive Canadian city) for $12/sf = labour ONLY. A STONE TILE is going to cost $15/sf for labour (same city). The cost of the material extra and it is a FRACTION of the overall costs. As someone who is cost conscious (I hate in-floor heating because it is SOOOOO d@mned expensive) I like cork floating flooring. Of course I'm a cork flooring EXPERT so I know how to keep a cork floor happy and healthy for decades. I also know cork will fade. And dimple. And have small scratches (which I can fix 'cause I know how). It is WARM...and SOFT and QUIET. Sooooo warm.....hhhhhhmmmmm. Warm and comfy. A HIGH END cork floating floor = $10/sf + 2/sf labour to install. At that price, you haven't even paid for the IN-FLOOR RADIANT HEAT let alone the stone/tile and the labour to install all of that. Again, I'm a cork flooring specialist who values the value of a practical floor. It is your home and your price point. Before you look into cork, you will need to determine if you can handle living with cork. The cork isn't the issue. It is the human beings who have expectations that are inappropriate for cork/wood flooring. Cork is "just a thought".

I would not do laminate in a basement. As dry as you think it is, broken pipes do happen. Try a glue down vinyl. My daughter put this product throughout her beach house. It looks so real, guest have to touch it to believe it is not wood. https://www.earthwerks.com I have no problem with dark colors in a basement. You need lights on, anyway, so why do white? All you see is shadows in the corners. Try something like B.M. Gull Wing Gray.

8" it's too small you need a minimum 24" wide light for that space. Good luck