GOD I've always wanted a chair like that

So, I know most of us are busy with our individual projects and don't have much time for actually PLAYING games, but if you had such time, do you think you would be happy with JUST a Wii ?
I've had several 360s over the years, but they either red-ring or I have to sell them in an emergency situation or something. I like the 360, it's a nice system, but it relies so heavily on online multiplayer.
Sadly, I'm on a satellite connection because I live out in the sticks and don't own a landline phone. I pay a lot of money every month for a pretty-slow-for-broadband connection, and being satellite, I can't play online due to the unavoidable 5-second lag on EVERY single button input.
No biggie, a lot of the games I play are with my kids via local/split-screen multiplayer (They love the Left 4 Dead games

). So I'm toying with the idea of picking up another console now that my financial situation is all better and I'm currently working on a more laid-back game anyways.
A few months back I just fell in love with New Super Mario bros. Wii at a store, and I had a BEAR of a time pulling my kids away from it due to their Mario love.
So, I'm thinking to myself, there are a ton of hot Wii games coming out soon, and generally speaking like 90% of Wii multiplayer titles are split-sreen, local affairs anyways. Perhaps I should pick up a Wii, it seems to fit my needs AND I love Nintendo's games for the most part. I'm also a sucker for Light-gun games and NOBODY is doing those on the HD consoles.
I don't want to ask this on SomethingAwful or some other place where a lot of fanboying will result from a question of this nature, but do you guys who have Wiis think you would be satisfied with JUST a wii and an old PC ?
Also, I've got a pretty small TV (Around 13 inches), I plan on picking up a nice, new HDTV in November with my bonus check but until then will having such a small TV cause issues with the Wii ?