Since you mention mud, that means to me maybe water might be involved, including submerging it, so, I would skip the battery powered stuff if so. Especially if "oil country" is Texas since if you read the instructions to the various battery powered saws, they can not charge when over 100 degrees. At least on the various Ryobi, Atlas, battery systems etc.
> make some half assed milled running boards
Stihl MS-180 CBE would be capable of this and is fairly light and compact. The best thing is they are easy to start. They have one design flaw, the connection for the on/off switch slips off and results in not being able to turn it off until you put it back on. You have to pull the plug. Still, I have bought three of them over the years and for under $250 it is probably one of the lightest and best saws to buy. Though I was impressed by a customer's MS-170 I fixed when I did a head to head with it against a bunch of home owner saws, it really pulled when doing 10" oak and just felt nice to use.
Now, if you have a 12v power port and have money to blow, then this might be a good solution:
M12 and M18 12-Volt/18-Volt Lithium-Ion Multi-Voltage 12V DC Vehicle Battery Charger
https://www.homedepot.com/p/Milwauk...-Vehicle-Battery-Charger-48-59-1810/301809847
M18 FUEL 16 in. 18-Volt Lithium-Ion Brushless Cordless Chainsaw (Tool-Only) with Replacement 16 in. Chainsaw Chain
https://www.homedepot.com/p/Milwauk...n-Chainsaw-Chain-2727-20-49-16-2715/315705997
This Milwaukee saw comes with a chain brake, which I consider a must have on any saw. You do not need to carry extra gas for the saw, it is instant on, and far quieter then a gas powered saw, if that is important to you.
I went the Ryobi 18+ eco-system just because their 12v car charger was so cheap and having a battery powered sawzall on the road means a lot to me. Not just for trimming branches and cutting down small trees, but, for cutting up metal stuff in the middle of no where. I recently bought a log splitter at an auction and the only way I could get it in my trailer was cutting the axle with the Ryobi. It took 5+ solid minutes and some 10w-30 oil, but, I cut through the 3" x 1/4" axle tube so I could fit the 16" I beam log splitter into my u-haul trailer. In the middle of a field with no 120v available.
So, if you think having access to battery powered tools might be handy on a trail, such as a sawzall, impact wrench (good for lags at least), and drill, them maybe the battery powered saw would appeal to you.
I do not know about the Red label, but, the green one has a bunch of battery powered fans, including a 2400 CFM box fan. Which you might find useful along with the hand held LED lamps if camping in the middle of nowhere while building something.