I would do SW Alabaster for walls and ceiling. It is in the Yellow Hue family but soft, light off white. Would look good with your wood. Then, I would add some interest with a color such as SW Meander Blue. It is a blue green and fresh, fun color. Goes well with any woods. But just depends on what look you want. Hard to make decisions with short time frame. What furnishings are you planning?

Oh, I agree...no fun to make decisions under pressure, but it feels like thats been the story of this build...Ive learned so much and it feels like 80% has been under a deadline...so am considering trying to figure out the paint stuff tomorrow-or at least take a guess...the walls are so small it wouldnt take much to repaint if needed-Thanks so much for the suggestions of those colors...I just looked them up--I really like both of them. They do look clean/fresh. The laundry room will basically be filled up with the rustic hickory cabinets (lowers along the sink wall- a silgranite sink (blanco laundry sink) which I'll need to choose a color for as well---thinking something of a medium to darker shade just b/c it will be easier to keep clean), & then upper cabinets on the washer/dryer wall) with a quartz
countertop (doing granite in kitchen, but figure quartz will be easier to maintain in laundry room)-color tbd...that will take up the log/sink wall and the right/garage door wall....the opposite 'longer' wall we are planning to build a bench/cubbies 'mud room' type piece that will run along that wall...perhaps paint/stain that. There will be a light (pendant or semi flushmount) over the sink, and a flushmount mid room in front of the washer/dryer-oil rubbed bronze and frosted glass.

I was also thinking about putting some simple, maybe live edge shelves to the left and right of the window, or maybe those could have some color too. We're doing most of the finish work ourselves & are both working full time--nothings been ideal about this build & I know I should have these things picked out by now- this is my first house I've even owned (I've always rented & have moved A LOT-so maybe have painted a wall or two, but never had the opportunity to design/paint/etc anything from scratch...its a gift, a challenge, and outside my comfort zone all at the same time. :)

Whites are hard and safe at the same time. Since you are uncertain do everything same color either Alabaster flat or Cashmere finish for walls and semi-gloss same color for trim. Don’t assume quartz is easier to maintain. A granite is very easy and real stone. You can get pieces for small spots like laundry at granite yards from their “bones” (leftovers from other jobs). Some have standard lengths for secondary bathrooms etc. at bargain prices. Worth some searching.

Concentrate on stone and floors. Then pick paint. Make sure color of cabinets works with wall colors. You don’t have to paint Sheetrock before cabinets go in. In fact, get cabinets in first. You want to select paint so it works with cabinets and your lighting.

Oh good idea on the granite leftovers...the guy who owns the granite yard that I believe we'll go with for our kitchen counters, has a bone yard and I need to start going through it every once in awhile to keep my eyes peeled. Yes, I was thinking quartz as it seems easier to care for (no sealing)--although-the granite guy said he could apply the granite sealer and I think he said it was a long term sealer---maybe 10+ years (i cant remember exactly, but it was more than other places I've been told...it seemed too good to be true-but our cabinet maker went to this granite guy--and raves about his granite countertops-and had him put on the sealer-its been working great for him). Hmmmm...and that makes sense to do it all in the same color...Im really leaning toward the Alabaster at the moment. I like it. Oh, thank you so much for your time and suggestions!

Personally, I would stay away from white -- with that log wall and hickory, I think it would look better to stick with warmer tones, especially since logs lend very specific "feel" to a house. White, even a warmer shade, is just not going to bring out the beauty of wood and isn't going to give the rustic feel that logs call for to full effect. It just isn't.. I'm not able to rattle off paint shade names and tastes vary so widely -- I suggest googling images of "rustic décor" and see if there's anything that you're drawn to.

Something like this (although personally I would have chosen stainless or deep red machines, I think the white is too jarring):

Flo is right, though -- you should get the cabinets and settle on the flooring before tackling paint choice -- paint comes last.

Wood casts yellow notes onto any color wall, so a off white wall would help bring light into this home. The ceilings are low, and the windows are small as far as I can see, so light and bright is very key. You can add color and more texture with Indian blankets, art and accent walls if you wish.