I don't have a BCS but I do have a Grillo G110 that is approximately the same size and weight. It will sink into soft ground with ag tires. It is possible that turf or balloon tires would be better on soft ground. I don't have a finish mower but have a 28" Bellon brush mower that I really like. My old Craftsman riding mower is getting old and I may just try the Bellon on my yard instead to see if it would be adequate vs. a finish mower. Like you, I don't care if my lawn looks pristine.
I am not sure how well the BIO-150 works, but I do have a BIO-90
chipper. The BIO-90 is designed to be a
chipper but I have an old Tomahawk shredder I can use for what little shredding I do. For small branches and brush, the BIO-90 is a beast. It will generally handle small stuff with ease. Anything that get towards 2" or more I generally try to slow down by holding it back. But you have to be careful because the
chipper will try to pull you in. There is no real feeding mechanism, but somehow the design of the
chipper/blades will pull material in as long as the blades are reasonably sharp. They don't feed as well when they start getting dull and that is how you know it is time to sharpen them. We use the
chipper for cleaning up the smaller stuff when we trim bushes or cut a tree for wood. The BIO-90 has impressed us from the day we bought it. Most stuff can just be tossed in and it feeds itself. By the time we have more to throw in, it is ready. But if you have shredding to do, then the BIO-90 is probably not for you. The BIO-150 is probably a fine machine but my understanding is that it is not anywhere near as fast as the 90.