Introduce a few sample and hold type LFO waves. Like current waves 98-100 but stepped modulation.
There are a few different types of sample and hold that could be made in to an LFO wave. By its nature sample and hold should be random but if the LFO wave was long enough then the repetition would be unnoticable.
They would mainly be used for modulation.
Differing types of sample and hold are:
Classic random voltages - no patterns or repeats
Verhult's logic map - mainly random but has patterns within (See XOAC Batumi alt firmware for eg)
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