could have a mechanic where you do some rolling along with the medRP, so people don't have to add loads in unless they want to and can be reasonably vague enough that most people can do it
maybe a 3 step thing where you first stabilise (something like /me begins to tend the wounds, trying to stop the bleeding), the first roll, then treatment (/me moves on to stitching up the wounds, trying to get them to close properly), the second roll, then finally bandaging (/me bandages the remaining wounds, trying to do so safely and hygienically), and the last roll. each stage needs a roll to progress, and you need to get above a certain amount for it to be a success (probably the amount missing being the required number you have to beat, so really bad wounds are more difficult to heal). failing could either be harsh and you could have a strike system, so 3 losses = something longer lasting (or even possible death), or just require the person to try again until they pass.
in line with that 3 step idea, having it so people with certain medical 'bonuses' get a + to their roll. first aid training can give a +10, being a medic giving a +20 (which can stack with the first aid training), senior medic a +30, that stuff. all adds incentive to keep at the medrp so you do it better, even if you write dogshit /mes.
then again i'm trying to make medrp, a notoriously one-sided part of rp, fun for both parties involved