I would put 400 into a used amp like a nad 3020, put 1200 into speakers like tekton lore or golden ear, then I second the idea of the schitt dac for 100 assuming you have a computer. There are many other ideas but I think putting as much as possible of your budget into speakers is the best way to go.
$1500 for a whole system, budding audiophile
Just imagine you're in high school now. You're going to budget $1500 on Amplification, speakers, and a source/ sources. Where do you spend your money to get you through college and an entry level job? Let's assume you have the computer covered and not include cables or headphones in the budget. New? Vintage? Mix of both?