Dang, I thought *I* was moving fast.
I suggest you take some of your money, and take both DIR-F, and a cavern class from a good cave instructor. I can recommend a dozen or so if you want. You want to dive the Doria? Great. Get some skills first. Training is not skills. Hours in the water is what you need, and lots of them.
I'm not trying to rain on your parade... but I've seen a number of people get pushed through stuff too fast, and seeking glory in diving. Leads to issues, potentially death. Guys with 20+ years experience die on the Doria. It's nothing to trifle with.
When you can complete a valve drill, manage a light, and keep track of your buddy all in 5ft of water, then maybe you're ready for trimix. Blowing an ascent on mix from 250 will kill you. I did a cave dive with someone with 6 years of diving experience this week. She blew right past her deep stop. On mix, it might have been a rescue. Fortunately we were on 32%, and at 50ft coming up from a 95 minute dive to 100ft.