I haven't seen this option in FlashFXP yet, so assuming it is not there yet... and I looked for other suggestions with the same request, but couldn't find them..
My idea : Make a shortcut key (like F12 - Open new FlashFXP) to open a new session of FlashFXP but with the same queue as the current version, shouldn't be to hard I think.
This could save me so much hassle (save queue, name it, load queue), yes, I am a very lazy person, but hey that's what feature requests are for
Hope you see change to include this, maybe in 2.01 ? Or just 2.0 final