I think there may be a new trailer acceptance checklist you could find by searching for delivery and dealer and checklist and inspection...
Some of the best advice is to plan to spend the night at the dealer and test stuff they could fix in the morning if it doesn't work.. There are stories of leaky showers, crimped wires for TV/Audio, inop outlets and stuck fans, etc that are much easier to deal with at the selling dealer than from home...
The basic items you want to check should include each of the primary systems:
1. Plumbing - Shower and sink faucets and drains and leaks and hot/cold water and water pump
2. Heating - Furnace thermostat and propane supply and heater in A/C if equipped
3. A/C & Fans - Ability to operate and blow cold/cool air and open and close vents, plus bathroom vent and stove hood vent
4. Electrical - Charging and battery and lights and outlets all around
5. Cooking - Stove and microwave
6. Refrigerator - Cold on 110V AC power and on propopane, and ability to switch back and forth in Auto mode...
7. TV Antenna and connections and radio/music including antenna
8. Wheels and tires and brake operation
9. Windows and screens including opening and closing for leak tightnenss
10. It might not be possible to check sewer hoses and valves and water tank indicators and fillers, but that would be good idea as well..
You should add whatever interior cosmetic details match your expectations, as often loose or missing rivets, mis-aligned blinds or mismatched doors might be found...
If all these are good, it is probably worth pulling home...