I have not had time to read all of the replies. I See you have gotten the CT 26. I would still get a cyclone of some sort. I have a CT 33 that stays in my shop. A ct 22 that gets moved into house rooms on Occasion. I find I only need to check the CT occasionally when I notice the suction diminishing and that seems to take a very long time. Before getting the Rockler Dust Rite, it seemed to be every couple of weeks and i would be replacing the bag. I eventually got the Rockler DR and that captures all of the dust and debris from my saws and routers. sawdust from my sanders does find its way into the CT, but I can clean the HEPA filter many times before the bag gets even close to full. If I move the CT 22 upstairs, I don't bother taking the DR as when I got the 22, I got a package of extra bags for it, planning to do the same for the CT33. In a couple of years, I have only emptied the 33 a couple of times while emptying the Dust Rite a couple of times each winter. I use the contents of the DR to sand my driveway. The dust in the CT bag goes into the woods.
I went the ATF 55 and recently upgraded to TS55REQ. If I need a larger saw for such use as you mention, I would still use the TS 55 and for hardwoods, I would make two cuts for 2" lumber. I have only needed ext rat depth for the 55 cut a couple of times. I go as deep as possible and then finish off with a handsaw. How often will you expect to be cutting into a beam. On an old house, I suspect you need to think long and hard before removing or cutting into a beam. In my experience (In construction for 40 years+/-, mostly as mason but worked with carpenters often during slow periods of winter. Mostly on remodeling jobs) A beam was seldom cut in place. If it was, there was quite a bit of setup prep before the cut. A Sawzall was often the choice as it was safer. If a circular saw was used, and cut needed accuracy, a good circular saw was used. I have tried making cuts on 6x6 with my ATF 55 free hand, but it is clumsy and difficult to follow the one without using the guide rail. I have still have my old Milwaukee 7-1/2" circular saw that cuts a little deeper than the ATF and I can still cut quite accurately when needed. While i working as mason contractor, I often used my 8-1/4" circular saw for cutting beams. I thing that probably compared in depth of cut to the TS 75. It was just as easy to make accurate cuts as with the 7-1/2" saw. For the few times you would want a saw larger than your TS 55, I think you would find a good quality 7-1/2" or 8-1/4" circular saw would be adequate. You could buy quite a few green & blue toys with the difference in cost between a TS 75 and a good circular saw in lesser brand (my choice was always Milwaukee, but there are othe brands that are probably just as good. My 7-1/2 is over 50 years old, maybe even 60. My 8-1/4 was over thirty when I got tired of using it for cutting everything from concrete, bricks, blocks, stone, lumber with cement and full of nails, plaster walls (those were real plaster, not dry wall). i did not really get tired of using, it just caught fire one day. In thirty years of evry day use, that saw took every type of abuse possible with never needing a repair. Upon occasion, and accurate cut had to be made and a best blade was installed for one or two cuts. If I had to use a larger saw than my 7-1/2" today and it had to be accurate, I would either go with my jig saw or pick up a Milwaukee or DW circular saw instead of the TS 75. The 75 would get used no more often than a larger circular saw in another brand. it is probably a little more difficult to make an accurate cut, but it is doable.
Tinker