Try the Pan/Trem with the depth controlled by an External Controller tied to ADSR. Then make a funky ADSR envelope that stays very low in a long attack and decay, then a super high sustain. I haven't played that much with ADSR on AxeFx, but I did use it to create a violin-like synth. Not sure if you can really make the sustain part larger than the initial attack and decay.
An alternate would be to try making the attack part with a long duration to get that ramp up, so short notes don't have tremolo but it increases as time passes. Again, not sure how much we can tweak the ADSR envelope, if the initial attack and decay time can be made longer.
Edit: I did check the ADSR on my Axefx, and you can change the duration of the attack ramp to a long time, then decay doesn't matter, and set the sustain to 100% of the attack. That should give you exactly what you initially asked for. The only real limitation is you have a straight line function for the attack, so you can't for for a long dry sustain with the tremolo kicking in quickly after 1 second. It would be a gradual ramp up, controlled by the attack duration.