The bandsaw vs TCT saw debate has become pretty commonplace around here. The fact thay there's even a debate means you can probably get away with either one. That said, I've owned and used both extensively and here are my thoughts.
Everything the detractors say about TCT saws is true. They're loud, throw hot chips, and the blades are expensive. But, they're (relatively) cheap, they make beautiful straight cuts right out of the box, they're fast, and you can typically get blades at Home Depot. The vise can make or break these saws. Look for the stoutest base, and most robust vise you can find. This usually adds some cost but it's worth it.
Unlike TCT saws, which which are all pretty similar given a blade size and minor differences in construction, bandsaws vary wildly from portabands to very large saws with hydraulic downfeeds and flood cooling systems. For our purposes, I assume we're discussing smaller benchtop type horizontal bandsaws in the same cut capacity range as a TCT saw.
First of all, a portaband is a seriously useful tool and I own three sizes in corded and cordless, but you really shouldn't assume you can make repeated straight cuts with a portaband. If you have one of the stands that converts one into a horizontal style, you might be okay but it's still going to be fiddly.
Second, a mitering head is super, duper helpful. It makes dialing in angles so much easier than the vises in a typical 4 x 6, I don't think I could ever go back.
So given those two recommendations, you're looking at a class of benchtop bandsaws that are going to range in capacity from just below a 14" TCT saw, to just above. Then there's other considerations like single speed vs a few speeds, vs continuously variable speed. Also, manual vs spring assisted down feed vs hydraulic downfeed. And adjustability in the blade guides. And of course the base construction just like the tct saws (cast vs stamped sheetmetal). You're going to be looking at a bare minimum price range that's on par with some of the upper end tct saws, but you'll be back in the black after a half dozen blades.
All that said, if I had all the money in the world, I would never use another tct saw. Bandsaws are just such elegant machines. A joy to use, lots of flexibility in blade choices based on your material and thickness, quiet enough to use in my garage without waking my kids, the possibility of a very narrow kerf, the option to use coolant or not, the ability to walk away from the saw on a long cut, and consistently excellent results with well adjusted blade guides.
Good luck!