Shipping weight estimate.

Well, if it helps, I shipped a Big block 727 from WI to IN last summer. with converter and it was a pushbutton with cables and the second pump so a tad bit heavier than yours and it came in at 155 pounds. Without all that, you're probably looking at 115-125 for the trans, probably 20 in the converter.

340 block, for the entire thing assembled, you're looking about 550 lbs.

Either of these items, Fastenal is likely to be cheapest. Note, I didn't say cheap, but cheapest IF you crate it. To ship that trans, it cost me a little over 120 bucks, UPS and fedex were twice that. For that engine, you're likely looking at 4-6 hundred in shipping, maybe more thru fastenal.
Well I contacted Fasnenal. They just sent me a email. They don't ship in to Ca.?