Heavenly Angel Ice will likely rebloom for you. I bought mine last year during it's rebloom period and it was my latest blooming daylily.
I got rebloom out of Penny's Worth (mini yellow)...
instant rebloom out of my Olallie Keith Stone's Sunset (that one will be hard for you to get your hands on though, unfortunately)...
and Thanks Two Friends (purple double).
I also had Lake's Swan Dance try to re-bloom...
but it was so late in the season that the frost killed it just a few days before it would have bloomed. I tried saving it by putting a Zip-loc bag over the buds at night to stave off the frost, but the baggy blew away one night and the scape had broken off/blown away. (We get high winds here at times.) It was disappointing and I felt guilty that my plastic bag was floating around somewhere, but live and learn, I suppose. On Lake's Swan Dance, you'll probably get much luckier with the rebloom in your yard if you have it somewhere where it can have full sun even in the fall. My house shades that area as summer moves into fall, so the scape and buds took a lot longer than normal to form, which is likely what delayed the bloom long enough for the frost to get it.
I think that was all of the diploid rebloomers in my yard last year, but since all of my daylilies were transplanted last year, it's tough to say whether or not I have others that just didn't do it because they were moved around.