You should eventually try the elm, if only to educate yourself. The interlocking grain, on the other (unmentioned) hand, helps prevent splitting.
You don't need a kiln to dry it, since you need small pieces. If you have a toaster-oven which will run at low temps, about 150 degrees, you're almost there. You also need an accurate way of measuring the weight of pieces about twice the thickness and width which you'll make the grips from. (Got a scale for powder-measuring?) First step is to weigh a small piece and record the weight. Then "bake" it at the low temp for several hours. If it begins to char then your temp is too high. After several hours weigh the piece again. That will be your zero-percent moisture content. Before you baked it the piece was at the "air-dry" moisture content (if it was stored outside out of the rain), which is about 16-20% moisture content. The difference in weight between 16-20% and zero percent is the weight of the water which evaporated or "baked" out. You want to remove a little more than half of that weight (of water) from your workpieces. So begin baking the workpieces (which you might make grips from, and weighed before baking) and every half-hour or so remove them and weigh them. When they have lost the amount of weight you are shooting for (pun intended) you can let them cool. You will then have wood to make grips from.
You have now "kiln-dried" your own lumber, without a moisture meter (which would have made everything easy, but isn't cheap).
Wood for grips is easy to get, 'cause the pieces are so small.