if you can lay your hands on 2nd hand (e.g. via ebay)
Samick's SKB & Kaya KTB/Windfighter can be found for your budget
& come with the benefit of their brand name & generally proven quality.
I have acquired 3 SKBs this way (1 for me 2 for the club) & Kaya Windfighter (for me) this way, the latter being my favourite.
Of the unknown/anonymous brand bows I keep away from any wrapped in leather (& yes i have tried a few) as usually hiding under
there is a solid block/sheet of glass & the cast is poor.
The "honest" bows that show the wood-glass laminations are a different kettle of fish - what you see is what you get ;-)
I have a "Ming" style one - very good cast, reasonable finish & fun bow to shoot - although i believe a lot of these are made to
1 weight i.e. whatever it comes out to circa #40-#50. Mine came from China/HongKong, no import duty, turned up in week, but was double your
budget - but in my experience worth it.