XBR65X900E Sony 65" can be had for around 2000.00
XBR55X900E Sony 55" can be had for around 1500.00
Both 4k sets and will do what you need.
Current Sets: Sony XBR75X940C, Sony XBR75X940D, Samsung UN65KS9800, Samsung Q9FN, UN55KS8500, UN49JS8500, TCL P-Series (55P607)
Previous Sets: Sony XBR65X930D, XBR65X900B, XBR49X830C, Samsung KS8000, KU6500, JS9000, JU7090, JU6500, JU6400, HU9000, HU7250, PN64F8500, Vizio P65, LG 65EF9500, LG 55EC9300, Hisense 55H8C