Hi @Paul Meiners! Welcome to the BP community. Given what you shared above, it sounds like you're not an ordinary "newbie," but I appreciate your humility and willingness to learn and grown with everyone else. That's what makes RE Investing so great!
There's a lot to chew on in your post, but I'll try my best to share a few responses and then some advice.
1. You're right; finding a property to do a traditional BRRRR is a tall task in CT right now. With inventory as low as it is and interest rates where they are, it's a challenge to find a property under market value with the chance to force immediate appreciation. Folks are doing it, but it will require lots of patience and a fine tooth comb. I'd recommend getting connected with a trustworthy wholesaler.
2. House hacking another multifamily - especially because you could use an FHA loan sounds like a great way to go. I'm not sure where you live now, but depending on where you're looking, there are lots of great places where you can still house hack for free (the other 2 or 3 tenants pay for your entire mortgage). If your long-term goal is to build out a portfolio of properties, this seems like the best next step to get there. This will allow you to build your portfolio, leverage your current home as a rental and create additional cash flow, and save on paying a mortgage for the time being. If you sock that money away, you'll be able to buy another multifamily in the next year or so.
3. If your goal is to create immediate cash on hand, finding a partner and going in on a flip would be a good option. However, this again is incredibly challenging right now given the low inventory.
4. If you can find a single family that can fit you comfortably, that's a great option, however that will be challenging with $10k saved for a downpayment.
5. Have you looked into Down Payment Assistance or Time to Own funds? I've worked with a few buyers who have successfully used both to purchase a home despite not having a lot of their own money saved for a Down Payment. The TTO funds tend to run out quickly, so make sure you talk to your agent/lender to make sure they're still available.
This community is a fantastic resource, too! You're smart to post here and get some advice. You'll learn a lot!
Good luck and let me know if you have any questions!