@elena I would buy separate enclosure and separate drive since complete sets don't have guarantees for what drive you get. And if you only need 1TB then SSDs are about the same price. The price gap is a bit bigger for 2TB but you would still be within your budget.
For example I have a Ugreen m2 enclosure with a 2TB Kingston NV3 since those were the cheap options at the time. If you want quality then a 2TB Samsung 990 EVO should still be in budget. Don't know what's the best non-budget enclosure