How to blend different wood tones?

Grey

You want different wood tones, makes it more interesting. Find your principle pattern first (must have at least 5 colors in it). Could be a rug, upholstered piece, bedspread, etc. Pick colors from that. Since your space is bright, don't be afraid of dark or strong colors.

Since your home is in the mountains (which, by the way, sounds beautiful) I would bring the outdoors inside. Go with shades of green or blue. Keep it fresh and airy. Then bring pops of colors (like coral, red or orange) in with pillows, rugs and art work. Sounds nice. Best wishes.

What color do you like? get some samples of various shades and put them on the wall for a few days and look at them in different light at various times of day. If you still unsure, get a small quart mixed up and paint a big square of it on the wall.

Then take your paint samples with you when you go fabric and furniture shopping.

I sure hate to see you paint over hickory. It is valuable in its unpainted state. You could stain it different shades of warm brown, and it would be beautiful.

if the wood is stained different colors, red tone, dark tones white washed etc, determine what tone they all have in common, warm tones? reds, orange, yellows all work great with wood. Blues and greys " cool" colors might clash. I would try to avoid those. but it all comes down to personal preferences. A friend with a woodsy cabin has used deep red and dark yellows with his wood tones.