According to
this article, which was last updated 11/2014, in NY you
should still be able to grow the black currant varieties "consort," "crusader," and "titania." No mention of specific red currant and gooseberry cultivars is made, but those species are supposed to be much more resistant to blister rust than black currant.
Some other things you can do to help protect against blister rust:
1) If you have any white pine on your property, prune the lower limbs to a height of 8ft or half the tree's height - whichever is less. Come back later and prune up to 8ft if necessary. This dramatically reduces the chance of infection since blister rust spores are spread by wind and enter the tree via its leaves. Although the wind may of
course blow spores higher than 8ft, the vast majority will remain below that level.
2) If you find any
trees with infected limbs:
As long as the infection is at least a foot away from the main trunk you can prune the limb and the tree should be fine.
3) If you find trees with limb infections closer than one foot from the trunk or with an infected trunk:
Cut the tree down. You don't need to burn it or remove it from the area. The fungus can only survive on a live host.