I'm a business analyst with a similar background (intelligence analysis, liberal arts, visual presentations and written reports). At my technology company we have found that SQL/DBA work can be added as you go and that "seeing the big picture" is the more essential skill.

I'd look for:
1) A tech company
2) One that is growing (see Inc 500|5000 list for too many leads to even chase)
3) Basic fluency – take some courses on codeacademy, codeschool, etc