If you want to just tell people you have a 9" then go ahead and install one. With street tire, no way will you brake a decent 8". I used to race a fellow in a 1967 Cougar (slicks) who went from a modified 289 to a built 351W and finally to a 460. He only changed to a 9" when he went to to the big block. He was running low 11's in the quarter with nitrous and a "mild" 289. Sorry, but you just won't brake the 8" with street tires. You just can't produce enough torque with street tires to bust that ring and pinion or the axles for that matter. And 350 HP in todays world is considered mild.
If you are concerned about breaking parts first:
-replace your u-joints with solid units
-upgrade to a race driveshaft and yoke
-install a driveshaft safet loop.
Once this is done, if you want, go for the 9". Having a drive shaft rattle around lose under the car or worse can really ruin your day.