Smoke acts on growing plants in several ways, and the effects of smoke will vary depending on what else is happening in your area. Temperature, latitude (day length), humidity, and soil makeup will all change the effects of smoke to some extent. Some effects you can change, and some require you to change your expectations. Here is what we learned last year as we coped with the nearby August Complex fire--the largest in California history at that time.
This is a new area for most of the gardening community, and there are few guidelines out there. However, I will share my experience and observations along with what local farmers observed during past fire years.
Plants that have to ripen fruit did the worst. Tomatoes, peppers, and eggplant had delayed ripening. Plants with soft leaves, especially leaves you eat, were affected. Lettuce, for example. Squash, with its big soft leaves and need to set fruit, were adversely affected also.
Beans did better than other fruit-producing plants, possibly because I grow mostly beans that come from marginal environments and are adapted to hot, alkaline soils. Pellegrini romano did well. Rattlesnake, with it's tolerance for marginal conditions, did well. Round Valley (Covelo) beans, Nodak Pinto, Carol Deppe's resilient beans, Borlotto, and Yessica's Inca Beans all did well. Bush green beans were more affected. Dragon tongue did best, but was less juicy than usual. Provider and the Bush Mix bore poorly and were tough. The purple beans in the mix did better than the green or yellow ones.
Corn was delayed by falling temperatures and reduced light, but Carol Deppe's dry corns matured dry ears in spite of late planting and smoke. The longer ripening period made corn more susceptible to insect damage, but it did all right otherwise.
Sunflowers did well. Brassicas did well; the alkaline ash and reduced temperatures suited them down to the ground. I usually surround my cabbages with ash to deter slugs, anyway. And their waxy leaves resisted smoke damage. Those stalwarts, chard, arugula, and turnips did fine, as they always seem to. Endive also did well, probably because the leaves are more sturdy than lettuce.
I welcome comments from others. As we proceed into new territory, our shared observations are the only guide we're going to have for awhile.