Under $4k budget build LA360 build

Lets talk about SCR or Static Compression Ratios; For a streeter this don't have much meaning; because, a street engine, for the most part, is heavily throttled, and seriously handicapped. That is to say;
the secondaries will rarely be opened,
the 3.23s keep the engine working at a very low rpm, and
the lo-stall TC is lazy as heck off the line.
So, IMO, Scr is not that big a deal, and really, it only counts at WOT, and only if the tires are NOT spinning.
And that leads to thinking about those 3.23s,
With 26.5" tires , and an automatic, the top of first gear will be ~44mph at 5200, and 5200 in second is 77 mph. So if you build a combo to be shifted at 5200, but your speed limit is 65mph, then you are throwing away 12 mph/800rpm of performance.
65 mph in second will be 4400 with those 3.23s. If the tires are hooked, the engine will be just coming up on the cam.
So IMO
You need to rethink the gears or rethink the 5200 shift-rpm.
If you need to keep the 3.23s, then
I would put an appropriate sized SOLID-lifter cam into it, and put the power into the heads instead.
A 5200 shift, points to a cam around 218@050 which is already pretty small. And that's gonna make trouble with your compression ratio.
So in studying this out you may find that the appropriate rear gear is 3.91s which will get you 65@5300,at the top of second gear, for a 5000rpm powerpeak, and therefore a cam of about [email protected] cam, there ya go.
Now you can build your engine up around that cam.

I had a similar cam; 223/230/110 in my 360 with 11/1 Scr/185psi and alloy heads. It went 106 in the quarter just into the 12s, with 3.55s, smoking the tires thru 2 gears of a 4-speed. Big fun and pretty good on gas too. I loved that cam.
With open-chamber iron heads, you will cannot run more than about 160ish psi on pump gas, but you need to keep it over 155. And your cam is gonna have to be chosen first, so you can choose an appropriate Scr to get your pressure up to where it needs to be. Else, with insufficient pressure, your performance below 3000 might end up less than what you currently have.
Pressure is the thing to watch for.
Scr is just the tool we use to achieve it