35m Mos Duty Stations - World Culture

I am a 19k fresh out of AIT. I would like to do the Bear program ASAP. I am dual military and I need a new MOS that is more compatible with my wifes IE: engineer, supply I have 4years Active duty Navy I have been in the army for 5 months.

My rank is E4 non promotable On a 3 year contract that started Oct 1st 2007 When can I do the Bear program?