I think a better idea for a swap would be an ls based Chevy, or GMC truck engine. Either the 5.3 or the 6.0. Both of these are plentiful & cheap at salvage yards, or private parties parting them out.
You could get the whole setup, engine, trans, eng/trans wiring harness & computer, plus anything else you need. A high pressure external fuel pump would do the job.
In the end you'll have a modern eng/trans combo with much more horse power & torque than the old 350 with tbi. A sbbc 350 with tbi usually had around 160 hp. The 5.3 ls series had 275 hp While the 6.0 had 300 hp and up.
A friend of mine did the 350 carb conversion on a 48 Dodge truck. It involved much work. Doing the tbi on the 350 sbc entered his mind. But the rewards were not worth the effort to him.