The xgimi aura is a very capable projector. The Texas Instruments DLP Chip 0.47” DMD is in a lot of these short throw projectors.
This guy does a good projector ladder where he covers what you get for the more you pay. There is really only 3 price bands for USTs, sub £500, £1500-£2000, over £2500.
He also does a good round up on the various screens.
If you go down the AliExpress route you should be able to get a pretty decent screen, just make sure it is for UST, these have different requirements to long throw. UST needs a lower gain. I prefer a fixed screen, but this is so room dependent and not SWMBO friendly. In the projector community they tend to upgrade their projectors a lot. But the screen is a long term investment. Try searching AVForum.co.uk for any successful ALR AliExpress outcomes. Or you might be able to get a 2nd hand screen on the AVForum classifieds, these don’t often make it to eBay.