I'm pretty sure you can cancel resting just by pressing ESC.
And I think healing rates differ a lot among party members. Vic heals slower than Sulik, for instance.
Other ways to heal would be stimpaks or using skills like First Aid or Doctor.
Or going to the local doctor of whatever town you're in and paying them.
And when you talk to a hurt party member there should be an option to let them heal themselves, but I don't think that's very effective.
Remember, there's no time limit once you've got the waterchip in patched FO1 and none at all in FO2, so even healing for several months doesn't matter that much.