I might try that with an air compressor, not a bicycle pump. 

(I usually use a compressor, but that's just more to carry around)I would be less concerned about a gas leak, though you of course won't know if the furnace or water heater actually work. 

But around me, if we can elevate all mechanicals to above the lowest floor, than that does reduce our risk and the elevation certificate (for example, a raised house with the first floor (no basement) elevated 3ft above grade, but the AC compressor is on a slab on grade, will get an elevation at grade, not 3ft above, since the mechanicals is at grade, raising the AC compressor raises your elevation). 

Hello BP,My HVAC condensor compressor went bad on me and I called my home warranty.

I recently had an ac compressor repaired (the dryer leaked) and they refilled it with an R22 alternative.

I can do Gas/Diesel Engines, Turbine Engines, HVAC, Hydraulics, Air Compressors, light carts, Air Craft arresting systems… and more… I am currently a Program Manager on a 30Million contract on base and know how to manage programs, people, and money.

They basically put AC on the wall of each room then run the mechanicals to the compressor outside. 

Took them 3 weeks to repair an AC compressor in the middle of July.

I'm talking about substantial upgrades, for instance:  40 yr old radiators & old furnaces with window A/C units, compared to my new 90% efficiency furnace, new a/c compressor and all new ductwork. 

I agree it wouldn't be worth it to take them to court I would also look into a duel HVAC system with your upstairs being cooled by cooled and heated by one compressor unit and the first floor and the basement being cool by separate unit it's would be a whole lot more efficient and worth the money in addition I would look at my local community for salvage yards refurbish places that sell compressors you can save half on finding a used compressor and having it installed by professional