Pull the engine if you feel you need to... but as other have mentioned, 10psi hot idle is not an issue or cause for alarm like was mentioned that you will throw a rod & have to be towed....
The rule of thumb is 10psi/1000rpm, sounds like you are hitting that with 10psi idle & 30psi at 3k rpm, does the psi still increase at 4000-5000? If so, its most likely ok to run it some more, 800 miles is barely fully broken in. Probably doesnt need a synthetic oil either, a conventional oil of the same weight will increase the psi some & cost a lot less while providing plenty of protection.
Also, the most common oil plug to be left out or forgotten isnt the front ones behind the timing cover, its the rear passenger side plug thats accessed through the distributor hole... I bought a high dollar E-head stroker engine with less than 100 miles on it recently, they shop/owner couldnt figure out why it had such low oil psi & didnt run right, i bought the whole car for a crazy low price as the owner was going through a divorce and just wanted to get rid of it ASAP. I got it home & pulled valve covers, pass rockers were barely moving, figured it was wiped lobes/lifters but decided to pull the dist & look at the plug.... sure enough it wasnt there, I installed the plug through the dist hole & it fired right up with good psi & ran good. With no pass side galley plug it still hit ~10psi at idle & increased ~10psi / 1000 rpm. I sold the short block after it was fixed & kept most the top end for a fresh 400 block stroker I built.
Theres a chance it could just be a missing galley plug or stuck check ball in the pump and the fresh rebuilt is good that doesnt require a total rebuild. Worth checking that plug first or maybe just pull the pan to check some basics before ripping it all apart. But with the psi it has now, its most likely not just going to blow up.
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