Not positive, but the home inspection report pic seems to show a handful of bare copper ground wires on the bus bar. If this is the case, you would likely have some mix of grounded circuits, although it does appear that most are not. If you could potentially identify any grounded receptacles you would obviously be able to use these with conventional surge protectors. Gideon’s solutions seem very reasonable. However, my motivation to run grounded wire would be moderately high in this situation. This sort of project lends itself to DIY collaboration. Many electricians really dislike fishing wire, so you could offer to run wire and have an electrician make the connections.