This is an excellent idea. People respond to free, and there will be some non-zero percentage of people for whom the habit of eating plant-based will stick, and possibly fully embrace the ethics of veganism.

Some feedback:

1) free food for a month is expensive and may attract people simply looking for free food
2) it may be somewhat effective or as effective to offer a discount for a month (e.g. 25% or 50%)
3) any effort should have some kind of commitment to abstain from animal food for the duration of the month
4) any effort should have some video tutorials to help people know what their options are, and how to prepare simple meals
5) any effort should also include dining at local vegan restaurants
6) any effort should also include interaction with other vegans, both for social support as well as to help with the transition

Next steps: definitely DONT drop it!
Do a pilot. Start with one household near you and self fund it if you can. Put a flyer up, and frame it as primarily a health or environmental thing. Stay in close contact with the household electronically, by phone, and in person. You'll learn so much about how it could play out and it will help you scale. If the household does not want to see the month through, go to the next household which has responded to your flyer.

 

There may be no 'clear way forward' but what does 'tentative steps possibly forward' look like?

Is it a list of all the advocacy efforts, along with their funding, expected outcomes, and historical performance?

Is it a place where efforts can be put in a tournament and be pitted against each other to eventually come up with a list ranked by estimated effectiveness?

Where is the underlying data for:
 

• Corporate cage-free policy fulfillment data collected by THL
• Estimates of the number of hens spared by each corporate policy THL helped secure
• Historical program cost data, adjusted for inflation and including proportional overhead
   

...for your analysis?