1. Show us some sample data. No need for 1000 dependent variables, but please provide 8 or 12 (two or three sets of 4) so we can see the structure of the names. Do the groups of four have a common prefix or suffix?
2. Cramer's V is a measure of association between nominal variables. As you indicate, it is produced by PROC FREQ when you use the CHISQ option on the TABLES statement.
3. What do you intend to do with these 250 Cramer V statistics after you have estimated them? Presumably, you are not going to look at 250 tables on the screen.