If you’re not actually using velocity on that track, there’s a feature/hack that lets you reset the LFO when you want. I think, anyway. Pretty sure that’s a part of the time-stretch hack that’s used for model:samples. It’s based on using the pad menu to set Dst: MODE (meaning LFO mode)
EDIT: Found the link → Model:Samples Tips & Tricks Thread - #38 by kraster