Its hardly a warm up, its murder!! But it's also a lot of fun! Go to Wal Mart and buy a cheap wieghted vest. They hold 20 pounds. (more expensive ones can hold up to 40, but you dont need it) I dont really recommend wearing it during running much because its really tough on the feet and knees (well, mine at least). But you can wear it just during your normal workout and for extra sets of pushups. It will help with the warrior chalenge. Also wear it and go up and down stairs or do speed work.
You will hate me at first, but you will be glad later.

I was running with 15 pounds of extra weight on me not long ago doing 5k's, so I really expect that to be the least complicated aspect of it for me. Just need to get an idea of how big the tires are that need to be flipped and if it's realistic to do by the end of the month. I suppose I could manage it, but don't want to injure myself doing something "just for fun" that's going to mess up the rest of my workout plans either.

In terms of sheer mass..not much. But in terms of strength...you bet!! You are well motivated and your legs are used to taking a lot stress from all the dancing! Tooltime isnt going to like anything with a lot of sheering force, so I'm going to say a lot of leg presses at medium weight and a lot of kettlebell swings (with very strict form).
When I say a lot, I mean to try for one set of 70 with about 15 pounds.
Strict form, bend your knees at the bottom and use your legs and shoulders to bring the weight up. Let gravity bring the weight down, but maintain control. Dont just let it fall or it will jerk at the bottom (bad). Lots of good examples on youtube.
No kettlebell? No problem, use a 15 pound dumbbell or 15 pouind plate.

Don't want to add any real muscle mass, just as much strength as possible. The hubs likes my legs a LOT just the way they are. He married a 110 lb ballerina...

Tooltime doesn't want me doing squats or lunges. What about the knee press at 150 lbs (feet parallet and turned out)with a lot of reps and the abductor/adductor machine at whatever I can do? Not sure about hamstring curls with weights torquing Kneepolean, but I get plenty of those dancing. Hammies have always been really solid. Tooltime has me well-braced for dance and won't let me wear athletic shoes for anything that involves pivoting on the balls of my feet because of the potential sheering and torque. That leaves me in athletic shoes for the elliptical, the bike, the treadmill (I really feel the need to try some light running ), and for the weight machines.

Strength is important, but the tire flip is all about technique! Driving up with legs and glutes will help save your back and upper body. It is not done like a deadlift. If you do it wrong you will tear your back or your biceps. The guys that are really good at this push so hard their feet leave the ground. At the top, while the tire still has momentum, you shift your hands to more of a bench press postition and push it over. It is exhausting!! I cant recall the tire size, but they are over 4 ft tall and about 18-20 inches wide. Weight can range from 200-800 lbs, so find out what they are gonna use.
Lots of deadlift reps with light weight (135) will help. But again, really strict form!!! Kettlebell swings also help.

Lots of deadlift reps with light weight (135) will help. But again, really strict form!!! Kettlebell swings also help.

Quick suggestions for a protein supplement. I work out lightly and want to lose weight in addition to toning and adding a little muscle. Goal is a stronger core and a sixpack (or at least identifiable abs) by Summer.

Ideas?

Light weight--135?!? OMG...just reading that made my hernia bulge!

Do not use the Peepers diet.

what are you talking about, mine consists of bacon (about three pounds per week, on a slow week), other breakfast sausages, eggs, tuna, chicken, pizza burgers, cheddar cheese infused hamburger patties, No Name Steaks, etc.

sure, there is the occasional Thin Mint I have. By the way, one sleeve of Thin Mints is considered one serving, right?

Where does one find a 135 lb poodle?

Standard Poodle crossed with a Mastiff.....its a Poostiff.

I agree! It will be a different kind of physical stress, but with all the running you do, your recovery between legs will be really fast. As for the tire, still concentrate on using your legs and glutes for the flip, not your arms. You would likely be fine, but a tear in a biceps would really suck.
It sounds like fun!