I'm not going to get into a urinating contest with anyone who doesn't want to carry on their tractor, ATV or UTV, it gets too much like a political thing, lots of word throwing and all, and in the end, neither side changes their opinion.
But, back to the original subject - I'm not endorsing this company in any way or fashion, just throwing it out for to give people some ideas.
Gum Creek Vehicle Handgun Mount Steering Wheel Gun Holster Mount
They have a concealed vehicle mount holster that is essentially a pouch that attaches with a clip and strap. The pouch can hold a pistol, plus extra ammo or magazines and it has a flap with a velcro closure to keep dust and dirt from getting inside. A little pricey, but I would think you could find something similar cheaper, or even buy the pouch from Wally World and attach your own clip or strap.
They also have an open holster, but it is basically just a left handed nylon holster with the spring clip, again, it's something you could buy somewhere else and adapt it some to do the same thing.
A friend of mine mounted one of those scabbards on the vertical upright on his FEL mount, between the tractor and the controls. His works well because it's in front and to the right (he's right handed). Being between the tractor and the mount, it's pretty well protected and he can easily keep his eye on it while out mowing or whatever.
I usually carry pistol, so I like the covered pouch, especially on the UTV, center mounted on the dashboard, plus I can easily carry extra ammo inside, just in case I want to take a break from working and do a little target shooting.