I'm in NJ but I have something in common with you..I am single and work Full-time +.
I have been fostering for 2 years and I enjoy it. It is not easy but it is rewarding.
With my first placement, I took off 6 weeks - I had planned for it (financially) and really enjoyed the time at home. I am entitled to 12 weeks unpaid leave due to FMLA. As a single, the unpaid part is the problem....

With my other (2) placements, I did not take any significant time off work - maybe a week or so.
I am in a professional position but am blessed to have supportive management and a lot of flexibility (i.e. work from home, flex hours, etc).
My state pays $155/week toward daycare but this does not cover the cost for the center that I chose - I pay $115/week co-pay. My monthly stipend basically is for the daycare co-pay. Needless to say, I pay a lot out of pocket.
It can be done but make sure you have your support system in place BEFORE your first placement.
Having a child truly changes everything in your life.
Welcome to fostercare!