There are a lot of battery powered appliances on the market.
for less than $40 you can buy a blender for tailgating that will mix 15 drinks on one charge. Keep it plugged in and it will charge between uses and stay charged all day.
For $400-1100 you can buy a quite portable 2000w generator.
Sams sells a 2300w generator for $350 that runs 6.5 hours on 1.1 gallons of fuel.
if I had a need for 110v power at the tailgate, that is the route I would go.