Thanks everyone for your help.
Between your input and talking to my Popa (grandpa), we have a solution:
- Pygmy goats in the fenced yard around the house, may expand if we get good tax money back
- Calf is in the shed for now, cozy warm
- By the time the calf is ready to be turned out, we'll have another acre(ish) fenced in with wood cut from Popa's farm (aka free posts)
- Later in the summer, if we need to split the pasture from 4 acres down to 2 & 2 to rotate them through it, we will have the money for more fencing, a gate, and another water trough