I am not Episcopalian, but I am a former Anglican. Basically, the same as @GKMotley said. If you want to know the answer, ask 10 Episcopalians and you’ll get something between nine and 11 different answers, all different and all perfectly permissible within the range of Anglican theology.
In short, there are Anglicans who pray the rosary and the Angelus, venerate images or statues of Our Lady, ask for the intercession of Our Lady and other saints, make pilgrimages to Marian shrines, keep Our Lady’s feast days, and so on.
There are also Anglicans who decry Mariolatry and believe that so-called “saints” are just dead people who are sleeping until the day of judgement and therefore are in no position to pray for us. Speaking of Walsingham, there are Anglicans who go there on pilgrimage, but there also Anglicans who go there to protest. “Walsingham no place for archbishop of Canterbury”, read one banner when Archbishop Runcie visited the shrine. The most famous slogan is, “Behold the waltzing ham show with its wobbling high doll mimic praise to Jesus Satan’s farce”.
In the middle there are the “modern Catholic” or “liberal Catholic” Anglicans who perhaps say a Hail Mary at the end of the intercessory prayers, invoke the prayers of a saint on his feast day, hold a few of the Marian feasts, such as the annunciation, though not the really Catholic ones like the assumption or the Immaculate Heart. They probably don’t have statues.
Note also the language used by Anglicans. The really High Church ones will say “Our Lady”, the ones in the middle will say “the Blessed Virgin Mary”, and the really Low Church ones will just say “Mary”. There’s also the relatively new phenomenon of Anglicans who are drawn more towards Eastern Orthodoxy, who may say “the Mother of God” (in the English-speaking world not routinely used outside the rosary and when discussing the Council of Ephesus).
Anglican Churches around the world (including TEC) have calendars of saints, which vary somewhat from one Church to another. Traditionally, it’s said that the only post-Reformation saint recognised by the Church of England is Charles, king and martyr. However, Anglicans do in practice recognise many post-Reformation saints, including Catholic and Orthodox saints and Protestant non-conformists who aren’t really considered to be saints by anyone. TEC has a feast day for W.E.B. Du Bois, who wasn’t even a Christian.