UPDATE:
Newbieitis strikes again...!
I was finally successful in reaching Dennis of Nelson's RV Repair here in Phoenix (who had been recommended by Ken, the fellow who did a great job on the TT
axle replacement). I explained the scenario and according to Dennis:
It is perfectly normal for an underpowered GFI to trip as described. 15 amp household GFIs are not intended to power a travel trailer, so running an AC off of one is definitely not realistic, and even powering fans and smaller fixtures in the TT may overload a 15 amp GFI. Oh.
A GFI in general may trip easily when connected to a travel trailer because the travel trailer has its own internal ground and when the GFI senses this, it thinks there's something wrong (this was a little confusing, because I thought that campground 30 amp outlets all had to be grounded persuant to a regulation change, but perhaps this only comes into play with
underpowered GFIs). Oh.
I also read (in the invaluable Trailer Life RV Repair & Maintenance Manual) and Dennis confirmed that using an extension cord rather than plugging directly into an outlet compounds any underamperage issues because the longer the power has to travel, the more "oomph" it loses and most common outdoor extension cords are undersized as it is for their length, so they lose a lot of power. Thus, running two extension cords about 80 feet to reach a 15 amp household GFI cannot be expected to yield successful travel trailer power source results. Oh.
Dennis recommended that, if we need to power the tt while at home, we use a non GFI outlet that has the highest possible amperage (i.e. the one we use for the fridge), but added that ideally, a TT should be plugged in to an appropriately rated 30 amp outlet, since that best matches the TT system needs. [Which would explain why people often have a 30 amp outlet installed at home for their TT]. Oh.
I am breathing a huge (though still tentative) sigh of relief. At the very least, we have now made contact with a repair professional in our area who does service ACs and
electrical systems in travel trailers. Thank you, everyone for your input. I guess, if anything, newbies like us do such ignorant things that we provide an ideal opportunity for the more seasoned travel trailer owners to show off what they know. Ow, head hurts.
Val