School vice-captain is better.
School Vice Captain would sound better Normally it's only Vice Captain but if your school has to have the word 'school' in it then School Vice Captain is most likely better.
they help the house captain out organising things
Captain Holland House was created in 1872.
Captain Louis Peugnet House was created in 1837.
Captain William Vicary House was created in 1829.
Captain David Judson House was created in 1639.
Captain Austin Jenks House was created in 1871.
Captain David Pugh House was created in 1835.
Captain Lemuel Clap House was created in 1767.
Captain Jonathan Stone House was created in 1799.
Captain Daniel Bradford House was created in 1808.