I have moved dozens of them and from memory 10' machine will have an alley length of almost exactly 7'. Alley & head are both just under 30" wide if I remember correctly. Head stays in one piece that is under 7' tall even with the light and the depth of the head is 36" with alley removed.
It should fit into a mini van but it really just depends on size of the mini van.
Typically I can break one down or put it together in about 15 minutes. One bolt on each side for the net, once net is removed 3 or 4 harnesses to unplug and wires will be disconnected. Then for the tricky part - if you have never moved one - at the top of the alley where it hooks to the head there is a bracket with two 7/16" head bolts in it that holds ball count switch. Remove those two little bolts BEFORE you try to get alley apart and remove the bracket & switch.
Then lay under the machine and you will see two bolts holding alley to head. Normally I toss a milk crate with a couple boards on top under the head/alley connection to support head & alley while I remove the bolts. Take the two bolts out - pull alley apart a little & slide hardnesses towards the head & then remove the alley.