"I like to eat this pork with rice dish."
To me 猪肉饭 means 'pork meal'. 饭 does not specifically mean 'rice', it can mean any food. 'Pork with rice dish' seems to me like very clumsy Chinglish. If you want to say 'this pork dish' you would say something like 这个猪肉菜. I think in most cases the rice can be assumed, although my experience is that it is often served separately.
TLDR: We are starting with a very clumsy English phrase which is inevitably difficult to translate. The English needs to be changed, then the Chinese answer might make more sense...
Although 饭 often refers to a meal but it is applicable in specific usages such as 早饭, 午饭, 晚饭, 吃饭, etc. It does not apply here. When 饭 comes after an ingredient (or more) we expect some food of that ingredient served and even cooked together with rice. The way the dish is cooked may vary from one place to another, but ordering 猪肉饭 would definitely get rice served.
猪肉菜 is not normally used. To refer to dishes with pork as the main ingredient, we normally would say 猪肉菜式, or just 猪肉.