Scott,
Great question. Woodgas isn't as dense as propane and it doesn't liquefy, so it's not a great candidate for compressing large volumes. Some people do compress it, but there are safety concerns if you are new to this type of thing. Compressors have a cost as well
Biogas membranes are a good way to store the gas for short periods of time, but they are a little bulky.
Wood itself is a good storage medium. Batteries are an OK storage medium because of their cost. Thermal mass is a great way to store some of the
energy.
What is going to end up being the solution in the future is we will take the
wood gas which has hydrogen and use it to re-refine plastics into liquid fuels which are the best storage medium so far. I don't have a book on that one yet and there is still lot's of expensive research to do. But if you ask me that is where it's at.
Ideally we can use pairing to match woodgas and
solar power together. For example you could run a batch load of wood to start off the day, then the sun comes up and helps out, at the end of the day another batch load to recharge batteries and thermal mass, then it's off to bed. That has proven to be the least work prepping wood and the fewest hours run up on the old generator.