if it were me i'd top up with a similar commercial wine.
i'm wondering about the SG, earlier you posted it was 1.000 and now it's 1.001? i suspect there's some error in there - are you also doing the temp conversion for the SG?
for me, i would top-up and not add any stabilizers or finings until i returned from the trip.
letting it sit with minimal headspace should let any possible ongoing fermentation finish off.
dissolved co2 "might" be causing the higher reading, a good way to try it might be to draw a sample, fully degass it in a small bottle by vigorous shaking until no fizz is left and then take a reading on that sample and convert for temp as closely as you can.
1.001 @ 77*F is really closer to 1.003 which concerns me a bit.