Do any statistics program provide funding for masters students?
Apply to PhD programs that can or will award a master's degree after you pass your qualifiers. 

This way you have funding and you may find that the funding is enough to continue even if other financial constrictions happen. You don't know for sure that they will happen or that other circumstances may mitigate the problem. 

It might also be possible to ask the department for a leave of absence (for a year or two). 

In a worst case scenario, hopefully you can finish with a master's.