Mt. Russell may be close to Whitney but it is still some work. The shortest route is to drop pack at Iceberg Lake and take the Whitney-Russell pass route (you'll likely pick up one of the use trails Steve described).

There is a climb to the pass and it's loose. Once at the pass the walk over to the chute isn't too bad. The climb up the south right-side chute is a long talus slog. At the top of the chute is an approx. 80-foot chimney to climb. As you're facing the headwall you will see the chimney on your left pretty much right up against the headwall. From the top of the chimney (there might be a cairn there) you head west to get to the west summit. There is a large block that can be difficult to get around but if you descend slightly on the north side you will find ramps and use paths heading west. Once you get close to the west summit you will have to find places to scramble back up to the west summit. On the return you will have to remember where the chimney is located then downclimb the chimney and slog down the chute.

If you descend to Upper Boy Scout Lake to take the east ridge, the climb up the chute to Carillon-Russell pass is a lot of work. It's a long way through loose junk. There are some rock scrambling routes adjacent to the chute but you have to remember to aim towards the high, sandy plateau, which is where you will see the entire east ridge in front of you. If unsure just take the main chute up to the plateau. From the start of the east ridge it is about another 800 feet. The east ridge is fun scrambling but there is significant exposure in places. If you take the east ridge up you can either descend the east ridge or take that south right-side chimney down to Whitney-Russell pass then Iceberg and back to UBSL.

Good luck, be safe and have fun!