The three Diamond Mind maneuvers in Tome of Battle that allow you to replace Concentration for the save don't fail on a 1.
Ditto for the Kensai ability to use Concentration for Reflex saves.
Iron Heart Focus, iirc, is the IH maneuver to reroll a save with a +2 bonus, so it gives you a new try.
There are also luck abilities, domain, and feats for rerolling d20's and saves specifically. I know there was a luck feat to turn a nat 1 attack roll into a nat 20, forgot if there was a similar one for saves or not. I just remember there were two luck feats for saves in C.Scoundrel.
Only things of help I can think of at the moment.