The HD 4250 isn't a 'dedicated card'. It's an IGP build into the motherboard.
dontqqnub's Acer Aspire AS7551 suggestion is about the best option @ $500AMD Radeon HD 6470M graphics review
It's big, it's heavy and the battery doesnt last long.
But it should do D3 on low reasonably well.
Also @ $500; Gateway NV55S04u 15" Notebook
AMD A6-3400M (1.4GHz) APU 4GB RAM 500GB HDD 15.6" 1366x768 LCD w/ Radeon HD 6520GAMD Radeon HD 6520G review