Bill - save some of the backstrap for carpaccio! IMO - you will get the most comprehensive flavor profile in this manner.
Soon after I killed a nice 5x7 near Durango, CO we made some (very fresh) carpaccio in camp and it was revelatory for me. I had harvested many Illinois deer and the flavor of the elk meat was both different and better - much richer than the Illinois venison. This has proven to be the case with the roasts, steaks and chops I have prepared since then with the meat I was able to bring home.
We simply sliced the backstrap meat as thinly as possible, drizzled some extra-vrigin olive oil and lemon juice on top, added some finely chopped red onion and served it on a sturdy cracker with a Fat Tire Amber Ale. Typing this, I am being transported back to camp and can smell the pines!
If you would like some marinade recipes I've used with elk for steaks, chops and kebabs, send me a PM.
I don't use round steaks, rather I have the round cut into roasts that I use for Italian-Beef style elk in the crock pot. I've also braised large chunks of bottom round with root veggies and onions in an osso bucco style. In my experience with elk and deer, the round is more suitable for this kind of wet cooking.
Less can also be more. I cooked some elk top sirloin steaks just last week after a light rub of olive oil, salt and freshly ground pepper. I had specified a two-inch thickness at the processing plant, so if your steaks are already cut thinner, just watch them closely on the grill. (I happen to think the olive oil helps to get a better sear on the meat - essential to game cookery since the meat is ultra-lean and cannot stand up to much grill time at all) This steak was perfectly complemented by an Oregon Pinot Noir.
Enjoy that elk!
Davooda
Life is a garden, Dude - DIG IT!
-- anonymous Colorado snowboarder whizzing past me March 2010