/diy/ - Do It Yourself

Mead takes so freaking long that anything outside of real carboys/real airlocks is probably not going to turnout good at all.
I've made batches of hard Apple Cider and fruit juice/yeast batches with a paper towel underneath the hole-drilled cap, but since those all took ~2 weeks they turned out fine.
Mead, on the other hand, takes upwards of 6 months, on a mininum, to around 2 years for fully mellowed out mead.

My honest advice is don't even attempt mead in such a makeshift bottle. If you are serious about making mead, get a good carboy, real wildflower honeys, and make sure as HELL you clean the hell out of that with disinfectant sprays like Easy Clean.
Mead sits so long that bacteria, etc. can easily get into it and begin souring the batch, so seriously don't do mead unless you're really going all the way.

for the record I've made two 3-gallon batches of mead in the past and they tasted great, but again they took upwards of 1 year each.