Gooten dag!
I'm not so familiar to the system but I think Tokyo university of foreign studies and Sophia University have students who speak foreign languages fluently so I suppose you won't have a hard time rather than other universities
The cost is depends on which uniersity and which department you want to major in,.If you go to public university it costs : 282000yen for an entrance fee,535800 yen for tuition fee. So you need 817800 yen in the first year. But if you want to study in private university it costs at least 1000000yen per a year
But we always welcome you!!!!