The largest 16:9 tube TV I have see is a 34" unit. A 34" 16:9 TV will give you the same image height as a 28" 4:3 TV. To keep the same image height as a 36" 4:3 you would need to move to a 44" 16:9 set, definitely into RPTV territory there.
What is your father's objection to RPTVs, is it the...