Why not use the table saw to trim the blanks?
I don’t resaw alot, but when I do, I start with the table saw. For boards less than about 4" wide I cut with table saw (run through twice - once on each side). For wood greater than 4" wide - Start by running through a table saw then the bandsaw to make the cut of the remaining middle. I will also cut a 1/2" starter slot on one end to make it easier to get started on the bandsaw. Example - 8" wide board - cut 2" groove on each side. Stand board up, cut 1/2 slot on one end. then go to a band saw. There is a lot less material to cut, the groove is a guide and my experience is the pre cut channels act as a guide for the blade. Then plane the boards down to the table saw cut. I lose a max of 0.1" per resaw cut this way. This is overall faster and has considerably less “stress” on me making the cuts.
Yes - bandsaws “eat up” less wood. If you use a thin kerf blade you lose .1" plus sanding off blade marks. Using a bandsaw only to resaw, you will lose 0.05" plus whatever amount you take off by planing/sanding the bandsaw cut (typically 0.01" to 0.02 on each side, but it can be a lot more if the cut is not perfectly straight. So theoretically, best case, you save 0.05" of wood over a thin kerf blade - but in practice you might only save 0.03" over a table saw blade (and savings can be zero or even negative depending on how good/bad you are on the bandsaw).
My experience with bandsaws and making straight cuts: Sharp blade, adjust guides to be paper close to the blade with the teeth barely in front of the guides, lots of tension, slow feed rate, as few teeth as you can get away with (but at least three teeth spanning the wood (ie the thinnest wood I will cut with a 3 tpi blade is 1").
Make sense?