The best canning tomatoes will be the varieties that Heinz and Campbell came out with over the last 70 odd years. Heinz 1350 and Heinz 1439 are two that come to mind and are readily available on the net. Both are determinate and heavy producers which helps a bit for processing.nd best to a fresh garden grown tomato is a well done home canned one---somewhere around last place comes the wintertime fakes offered at the local superstore. A few variables to consider: 1  Firmness after processing. 2  Taste after processing. 3  Size compared to neck size of the canning jar.