Trampolining in JavaScript - how to handle try/catch in recursive call

Question

I have a recursive function written in Javascript, which is giving RangeError because of excessive deep recursion. Hence, I have used trampolining to make it tail-optimized. This has wrapped the function call in a while loop and I have gotten rid of RangeError. But I need to handle thrown exception inside the recursive function (go back one level and do some corrective processing). I am not sure how to handle this kind of situation, while using trampolining.

My original recursive function (simplified for illustration):

function process (val, level){
   if(val < 0 ){
     throw new negativeException(val);
   }
   for(var i=0; i< num; i++){
       try{
         //do some processing on val
         process (val, level+1);
         return;
       }
       catch(e){
         //do some different processing on val and use i as well
       }
    } 
 }

function process (val, level)

My updated recursive function using trampolining (ref: Understanding recursion in functional JavaScript programming)

function trampoline(f) {
  try{
    while (f && f instanceof Function) {
        f = f();
    }
   } catch(e) {
     //catching exception in trampoline
   }
   return f;
}

function callProcess(val, level){
   function process(val, level){
     if(val < 0 ){
       throw new negativeException(val);
     }
     for(var i=0; i< num; i++){ 
        try{
          //do some processing on val
          return process.bind(null, val, level+1); /updated recursive call
        }
        catch(e){
         //do some different processing on val and use i as well
        }
     }
 }
 return trampoline(process.bind(null, pstate,level));
}

function callProcess(val, level)

With the updated code, I am able to avoid RangeError as long as val is not negative and no exception is being thrown. But when val goes negative and exception is thrown, I am directly going to the trampoline catch block. But I need to go back to the catch block of process() one level up.

Can you suggestion how I can achieve that? Thanks for your help! I have checked out some related posts, but unable to figure out the solution I need.