There are some things you may prefer a crawler/track type tractor for, ie; larger slope work, grading jobs like roads or top soil, lower ground pressure, + others I'm forgetting. You can grade with a backhoe, may take longer, not as easy without tilt, my preference is still a crawler for that, but could always work around it if that is all I had.
I think a rubber tire backhoe is a very handy, productive, versatile machine to have at ones disposal. Sounds like you may be on flat ground, no question about doing some of the things your 350B does and with a thumb on the bucket or say a front bucket with a grapple, or even just forks.
I like to cut my firewood logs to 6'-8' lengths, haul em out, to either buck em up or stack with some cover, hack em up some other time.
I have run 350's, one place had an older one, little tired, always ran, slow for topsoil, light grading etc., friend in the excavation business still has one from sometime in the 70's, did my house then with it,finish grade. Some of these newer backhoes are impressive, I have run all kinds of em, years back, Ford 555-655's, Case 580's forget how many and early to late C' to... JD' 310, one of those had a direct drive (std.) trans. JCB's, Dynahoe 190 ?? 194 forget now, CAT, 416, 426, and those were all pretty good, I did not like Case w/ footswing controls. Fast forward to more recent times, I ran a new 420 D CAT,nice machine, fuel consumption was impressive, well balanced, very productive, did several jobs with it. It kind of makes you see how different they are today. Not great for slopes, they are a little tippy, but would take a lot to go over. You can do more tasks with a rubber tire hoe, than a dozer, no doubt, nice to have that thumb, front grapple, forks etc.