Read through this thread and you will understand what is involved much better:
I don't consider 1/4" thick pieces to be veneers, rather resawing, but that's just me. Sawing veneers is a bit different because of their thinner dimension, usually 1/16" or so. If your pieces are 1/4" or so, you can still run them through a thickness sander and that's a big plus.
In my shop, I use a dedicated "resaw" bandsaw which is a 3 HP Min Max 18" which will saw up to around 10" or 11" thick. Blade choice is very important and some guys use a variable pitch blade 1" or 1 1/4" wide with great results. Myself, I use a 3/4" wide 3 TPI Timberwolf blade from Grizzly Industrial with good results, but some sanding is required.
Another important aspect to this is work support and the fence. Heavy thick timbers must be well supported and held tight against the fence for best accuracy. A tall fence and a pressure roller or feather board will help maintain constant contact.
I like to surface joint each succeeding face as I resaw the next piece. This presents a smooth, flat surface to hold against the fence and no further jointing or surfacing is required on that face. This requires a wide jointer obviously and not every shop will have one.
So what you get is one sawn face and one smooth face as you progress along. Then I run all the sawn faces through a drum sander to get them smooth and an even thickness.
In order to get a rigid frame which required for resawing a welded frame is now the standard on newer large size band saws. Older saws like a Crescent 30" has a huge cast iron frame and is not subject to flexing. The cast iron frame 14" bandsaws with riser blocks are the most popular, but are not necessarily the best machine for resawing. The smaller wheels limit the blade width and the blade thickness which may result in metal fatigue from constant flexing around the smaller wheel.
In general terms, I would look for a 18" welded frame with a 2HP or 3 HP motor. There are 14" "resaw" bandsaws which have a 2 HP motor and may have a reinforced frame, I donno?