Yea, go for the Wii Remote bundle. The Steering Wheel is literally just a fancy plastic case for when playing using the gyro controls, though you can also do that with the GamePad, so it's more for Player 2's benefit.
If you don't mind mixed/matched parts, check Best Buy or GameStop. GameStop has tons of used Wii Remotes and Nunchucks and my local Best Buy often have Open Box discounted controllers, even the Pro Controller. Open Box doesn't work with GCU though.
If you had looking a little earlier, you could have gotten some great deals at Best Buy. BB has a Mario 3D World + Nintendoland for $300 while they have that same bundle with DK Tropical Freeze and Smash Bros for $410. Pick up Mario Kart for $60, apply for the Gamers Club Unlocked using the $30 for 2 years with $40+ game purchase, and your total would come to $406 before tax, essentially getting Smash and Mario Kart for free.
Unfortunately, the $30 promo expired Saturday and I don't know if it's coming back.