That's a tall order. I think something will have to give and even then it's hard to find one of great quality in that price range. I have listed one that meets most of your requirements. Is 1/8" adjustments really needed? How about the mil-dot? It would be an understatement to say the average benchrest rifle isn't capable of shooting 1/8" groups at 100 yards. If you learn your load, the mil-dot isn't needed if you have time to dial in.
http://www.midwayusa.com/eproductpag...826&t=11082005
http://www.midwayusa.com/eproductpag...240&t=11082005