Do I need a Stall converter?

I don't think that 270* cam can make 350hp with stock factory heads, @ 9.1 Scr. But say it it's what you have and want.
By the time the lash gets taken up, that solid cam will measure less than 270*, how much, I cannot say, but rule of thumb is that when comparing a solid to a Hydro , the solid will be about one advertised size smaller.
Let's say that works out correctly, then your 270 compares to, a 262 hydro at advertised .008 tappet rise.
And let's assume your single-pattern 270 is on a 110 LSA. Let's install it 2* advanced, and we get an Ica of 59*. And I assume Indio is at sealevel.
Ok then, the Wallace Calculator says you combo should make around 153 psi CCP, which is Cranking Cylinder Pressure, which is pretty good. The V/P is predicted to be 125, which is about the same as a stock 9.2Scr318 or 9.2Magnum., which is non too peppy but not lazy. This would be a good number for your application.
But it won't be anywhere near 350 hp.
But that is not necessarily a bad thing.
Because you have that higher pressure, the TC will act like it should, stalling near it's rated stall. My guess is that you'll get near 2200 out of it.
With that and the 3.55s, it should be just fine for your application. I certainly would not spring for something just 300 rpm higher.
Now, having said that
Your power-peak with that cam should be near 4800 rpm, which with 3.55s and 27" tires is about 40 mph, in first gear. The guessed-at 110LSA, will NOT carry that power out too far, but for your application will certainly be fun. I'll guess at a shift rpm of 5300 to 5500.

And finally;
That cam has the potential to make great fuel-economy, probably better than any smog-era 318, but not with the 3.55s lol.

Read about V/P here
[URL]http://victorylibrary.com/mopar/cam-tech-c.htm[/URL]

Happy HotRodding
Brian at IMM is doing some port work on the the stock X heads.
The 270 is 110 separation.
This is why I thought I would ask as I thought it may be a waste to spend that money on something only 300 RPM higher.