Hi Jay,
these designs are not quite correct.

In the first case, subject means should be modeled as follows:
subj1 1 1 1 0 0
subj2 1 1 0 1 0
subj3 1 1 0 0 1
subj1 1 -1 1 0 0
subj2 1 -1 0 1 0
subj3 1 -1 0 0 1
contrast 0 1 0 0 0
exchangeblocks 1 2 3 1 2 3
Note that I have added 3 columns to the design matrix (one for each subject) to account for within-subjects means (repeated measures).
The first column of 1's should be removed in this case.
Regarding the second design, it is not clear to me what you are trying to test. What is the null hypothesis? I think you are interested in a 2 x 2 ANOVA with repeated measures on one factor.