In general, the newer antidepressants (SSRI and SNRI) do not prolong QT interval so much. A possible exception is citalopram (and escitalopram).
As far as I know, paroxetine and vortioxetine are fairly safe. How long is your QT interval?
SNRIs like venlafaxine and milnacipran. There may be others, research with your doctor.