The Census Bureau only started publishing race alone or in combination counts in 2000. The 2000 census was the first time individuals could select one or more race categories. Thus, you will find an equivalent table in 1970 or 1980. 1980_STF2b does have a single year of age table (NTB8A) with race/ethncity breakdowns - you can get AIAN data for this table.
I’m not finding a single year of age table for 1970.