I see the PO succumbed to "More's Law". If some is good, more is better. Why won't it idle with the gigantor 909 cam?
Agree that you need to at least make some effort to see what compression you have. You can run a compression test. Yes, I realize that a radical cam will skew that result, but will give you a general idea.
You can also get a boroscope and look into a cylinder through the spark plug hole so see if the piston is flat or domed.
I have this one. Reasonably priced and works well. Has more features than my little pea brain will ever figure out:
Amazon.com
I see it has been discounted to $107 with prime. I paid $150 less than a month ago.
"2.02 heads" are likely the small combustion chambers. They made a few in the 70s with larger chambers, but not that many. You can pull a valve cover and get the casting number. Post it.
If it has domed pistons, and you want a milder cam, you will EITHER need to swap heads for something with large combustion chambers, or go with flat tops. Either way, you are opening a can of worms.
If it has flat tops, you still won't know the exact compression ratio, but you could then roll the dice and swap to a milder camshaft. Still a bit of a crap shoot. Lots of good cams available. I really like hydraulic roller cams even for mild builds. No worries about wiping a lobe. I have used this Crane hydraulic roller in two engines (both 350 bored .020): 119811; although a quick check shows it to be out of stock right now. Very happy with the result. Super smooth idle. Great torque. Not designed to go over 5000 rpm. I got over 20mpg on the highway consistently in a 68 El Camino (not the most slippery design out there) with 3:31 gears and a 4L60E trans. I had flat tops, 186 heads (with the 1.94 / 1.50 valves). IIRC I had right about 10.25:1 compression ratio. HEI recurved. 8 degrees initial, 36 total, vac advance hooked up to manifold vac with a stock Qjet on a stock cast iron intake, both 68 vintage. I jetted the primaries down one size. Everything else in the carb was bone stock. Ran 91 octane and never had a ping. I could light up the 275 60 R15 rear tires at will. Tons of torque.