There is an easy way to access Death Mountain without the Power Gloves.
Lure one of the nearby birds to the cave entrance. In order to pull off this skip, you will want him attacking you from a south-west position. You will have to jump off the ledge, towards the bird, at the last moment, so that Link will take damage immediately after jumping, which will boost him over the rocks and into the entrance.
Easy methods to setup the left bird is to proceed as follows. The left picture is the easiest method but is slower than the method in the right picture. The red lines mark the path Link should follow, while the blue lines show the path the bird will follow:
Be careful not to go too far right, as the bird will stop attacking you and go back to its original place. Stay in the leftmost quarter of the diagonal ledge.