As somebody who plans on cruising south from California in the future, I can tell you it's doable, but I don't think you have the budget.
If your budget is $25k for the boat, figure you could spend $10-15k on the boat, leaving you $10k to prep it for the trip.
A boat in that price range is not a blue water boat, so you're going to have to coastal cruise down, then cross over and hope the weather doesn't get you.
For your actual "cruising budget" you'd need to research the various stops you want to make along the way, to figure out what you'll be paying in fees, Ecuador is EXPENSIVE to cruise in, but figure you'll be paying every time you clear in and clear out of each country along the way. Consider additional costs for food, fuel, water, etc. Then you need an emergency fund, to fix things that break that you didn't plan for.
Caribbean 50 Ketch