CTK FarmsLogo Design Contest

Family farm mostly known for selling eggs to local grocery stores

"CTK Farms" I only need one color. Grey, Black, Dark Green, Dirty Orange? Totally open on color. The only place the logo will appear is on egg cartons, checks, and a large metal plasma cut sign on top of our entrance. I need something that can be a cut-out, not super detailed, and basic. I am open to the font and design. Side note, the "CTK" is a cattle brand, and the name of all 4 of our businesses (CTK Grinding, CTK Welding, CTK Farms, CTTK Trust) Soon we will be incorporating so the CTK itself could be a logo of some sort.

It all seems easy enough right? Now I make it complicated. My grandparents and parents ran and owned their own plumbing business for generations, they have all since passed. I would LOVE to incorporate the "swan" in Swanson's plumbing into the logo as original as possible. I was thinking making it the s in farms and having it wrap underneath or counterbalance. The problem is it is a swan and I need it to be a chicken, however keeping the integrity of the last living of my maiden name and family. I also uploaded a photo of a large oak tree and rock outcropping that is at the entrance of our ranch. If possible one could add the oak tree and outcropping into the design but since I need the design to be simple not sure if it is possible and not quite as important but would be super cool if you could. In my mind I was thinking the tree and outcropping on the left side with CTK on the first line and farms with the s on the second line. Please note the tree is only trimmed on the right side and the cows are gathering around the outcropping, but idea is there. Thank you.