Hi pgfren,
Because co-existence of alpha and beta is common in Southeast Asia, it would be highly recommended that you both have DNA tests to make sure you do not carry the other trait. This is especially important to rule out alpha thal in your husband, but because some traits can be silent and hard to see from an electrophoresis test, it would be best if you both had the DNA tests. Alpha carrier is very hard to diagnose without DNA testing and you should know exactly what traits you each carry before having children.