Do you not let the meat rest? I think most folks recommend wrapping in towels and placing in an insulated cooler for at least a few hours. In that time, the meat will cool enough that nitrile gloves should be fine, without causing you discomfort during the pulling.
I find that he cooler the meat (assuming we're talking about pork butts, here, which is what most folks 'pull') the easier it is to separate fat and connective tissue and shred the meat, up to a point. I think that 'warm' (lower than an IT of 120 down to 95 or so) is the best temp for separating fat and ct and for shredding.
For shredding or 'pulling,' I wear nitrile gloves. For handling hot slabs straight from the smoker I have some insulated vinyl-clad gloves that are not flexible enough for shredding but are excellent for handling meat in the 175 to 200 IT range.
HTH