Good starting points? Hmm, 2C-B is always a grand old time, especially when paired with a couple of nitrous balloons, though it's always more than a couple for me. What do you actually have access to?
LSD is also a great choice, in my opinion. I'd definitely recommend having a sober person there just in case things get a little too wacky.
As for mushrooms? Personally, I've never really enjoyed shrooming. I'd rather snort the rest of my 2C-E stash in one rip than take 7+ grams of mushrooms alone again, but that was just me being reckless.
Then there's 4-HO-MET. It's still widely available in the United States, and I've never had a bad time on it.
MDMA could work if we're even counting that as a psychedelic, though it definitely gets wild in higher doses. MDA is another option; I'd consider it a true psychedelic, but you're still rolling face.
How about DMT... would I be crazy to suggest that? You'll most likely get standard, cautious recommendations from most people here, though. I doubt anyone else is going to suggest you take heroic doses of DPT or 2C-E right out of the gate.
Just remember that your set and setting are incredibly important. Most of the "bad" trips I've had usually came down to me taking psychs with absolutely zero plan in mind.