Since you were asking about the CK25 and BX in the other post, I didn't comment on the CK20, but I have no doubt it would do what you have to do. The pictures that I've posted don't begin to show all that I've been able to accomplish with mine.
I should have started a TBN gallery, but instead, I posted pics on another site, and some I posted directly to my posts, which don't allow others to check out unless they can find the threads.
I've done a lot of timber projects around my properties and pulled pine trunks as long as 20 feet and two feet in diameter with my CK20, tires not loaded.
I till a garden a couple of times a year with a 52" Woods tiller, I box blade EVERYthing, leveling etc. I use a landscape rake as well. My backhoe has probably paid for itself in work I didn't contract out.
Now for mowing, if you want a backhoe, the CK20 won't accept a backhoe and mid mount mower as the brackets for the backhoe remain on the tractor and just the subframe and backhoe come off so the MMM mount won't go on at the same tme, unless you use the Woods backhoe. At least that's what Rick Wallace says. I use the Kioti backhoe.
The mowing I do is with a brush hog, and yes, I sometimes mow my lawn with it, but mostly it's used for pastures on others' properties.
My home property is 2 acres and I maintain another 4 and 5 acres properties as well.
The CK20 should be all that you need if you get the backhoe and a rear finish mower. If you don't get the backhoe or get a Woods, then you can use a mid mount mower and a lot of posters have said they like theirs, I just prefer rear mount mowers.
John