cumshaw
"Cumshaw": In the Coast Guard, at least (this may be an incident of perpetual under-funding), the commonest definition of "cumshaw" verb is pretty much identical to your first definition of "scrounge" verb. To cumshaw is to get by irregular means--exchanging favors, calling in debts, cutting corners with procurement--what an individual Coastie, a group, a cutter, or the like should be able to get by regular ones.
The Chief cumshawed a spare prop for the 41-footer.