Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_23 ( overall INTEGER, round VARCHAR, pick VARCHAR, college VARCHAR )

### Question ###
WHAT IS THE OVERALL AVERAGE WITH A 22 PICK, FROM RICE COLLEGE, AND ROUND BIGGER THAN 10?

### Accurate SQL ###

SELECT AVG(overall) FROM table_name_23 WHERE pick = 22 AND college = "rice" AND round > 10