They had actually broken an exposed sewer line and placed an old toilet over the opening they created, and used a hose to flush it down.

Would I just run the hoses through the current cabinetry (behind the stove) and to the sink? 

When you are this far, and you orient the toilet straight and tighten down the bolts, but not too loose so the toilet won't rock and not too tight so you don't break the porcelain & with the tank far away enough from the wall so you can fit the lid onto the tank but not too far away so it doesn't rock when people sit on the thing and when you connect the tank to the bowl you remember to use the rubber ring and when you insert the ballcock stem you get a good seal and you set the water to stop before it overflows the tank when you turn the water on and you use plumbers tape on the threads when you connect the hoses, you should be fine.

Items that you may think should be standard like garage floor drains, ample exterior outlets and hose bibs are not standard with all builders.

When I finally found one without those stipulations I still got hosed.

hose are hard to get if you are referring to the 30/60/90 mortgage late's.

Basically without the conversion kits, you are taking a garden hose  converting the hose to a fire truck hose with no changes at intake or outlet.....

BUT the outside hose bib is on the full pressure , It makes washing cars fun , and my irrigation system uses commercial heads that throw 60 feet .

The cram/ fire hose method is extremely inefficient if you actually want to learn and retain information.

Most hydraulic fracturing is done horizontally as opposed to vertically..