Hi. This is quite a common feeling among people to have a feeling of foreign body like you are feeling. Neti definitely would have removed the rice as the boiled rice can not be stuck and the nasal secretions are very viscid and slimy. If roof of your mouth and front of throat feels strange when you swallow indicates either in inflammatory process going on or a swelling which give this feeling to you. A simple test is - stand in front of a mirror in good light focused in throat- open the mouth fully and say Aa, Aa... If the back of the nose is completely closed by your palate
, just do not worry. If there s a swelling or unequal appearance or anything which you feel is not normal , it is better to consult an ENT surgeon.