I would think you could do both... start local to figure out the logistics, hone your messaging, and work out the kinks, then travel with your exhibit.
As for local venues -- and speaking from experience
https://www.pinterest.com/mpjohnst/film-art-from-behind-the-iron-curtain/ -- college galleries can be great, low pressure venues to get your feet wet
You might look into universities with significant Jewish studies and/or Holocaust studies programs. I'm sure those experts could help develop contextual materials to highlight your collection in the most appropriate/educational way possible. Also, the more organizations you can get involved in a single event the broader the appeal will be as well. A 2 minute search turned up:
Melton Center for Jewish Studies at Ohio State
https://meltoncenter.osu.eduJewish Community Center of Greater Columbus
http://columbusjcc.orgJewish Federation of Columbus
http://jewishcolumbus.orgIf you could get those three organizations to support it, you could have them displayed at Ohio State. It will likely have well-established on-campus art galleries with large mailing lists (to drum up visitors far and wide), built-in prestige and plenty of insurance/protection for your collection.
And lets be honest... at the end of the day, the best contemporary uses for these monstrous artifacts will likely be to educate, and I suspect shock, many of our youngest citizens. Demonizing others for your country's problems sadly seems to be coming into vogue again... The importance of these posters cannot and must not be understated.
Good luck and let me know if I can be of any help!
