Running

Take two bottles Or a fiver to buy something in emergency.

And gels! I haven't run further than 20m for a few years, but it was always a drink that I craved.

Even more so this time of year for

I use one of these:-
http://www.wiggle.co.uk/ultimate-performance-kielder-handheld-bottle-carrier/
easier to carry than one of those bottles and also carries 500ml. There are a few different ways to hold it to vary the irritation over the length of the run.

Or just get a bigger hand bottle: http://www.wiggle.co.uk/ultimate-performance-runners-bottle-580cc/

I'd fill any bottles with electrolyte. No point doing one electrolyte and one water, may as well do both electrolyte.

500ml would leave me quite dehydrated by the end of 26.2m. I can do a half with just pre-hydration and 30km is about the limit of what I'll do without having more than 500ml. (For longer runs I use my bike as a base and stash more liquid and gels/snacks so I can top up part way through a run). If this wasn't viable I'd just use a hydration backpack, even if I ignored the bladder and just stuck an extra 500ml bottle in it).

Not sure why gels are a big no no for you, but I'd also carry 3 or 4 Isogels (e.g. http://www.wiggle.co.uk/high5-isogel-sachets-25-x-60g/ - they contain more water than normal gels so they're a lot easier to take).

If you really don't want to carry gels or too much water in your hands then either take the camelbak, use a waist pack, or plan a quick stop in a shop for more water and a snack.

Dehydration will ruin a run, especially at the point where you'll need everything to be going well in order to continue (past the magic 20 mile mark).