How about a turbo arrow or a turbo 182RG? I saw some turbo arrows on tradeaplane that would be in my price range.Would these fit the bill? Would the Mooney still be in the ballpark?
Tom was correct about what you're looking at to cross a lot of those routes IFR in the winter. The T182RG is a nice package, and that will give you space, altitude, and decent speed. Keep in mind there are also turbo Mooneys that will do even better on the speed, which I think is more valuable.
I would look at Bonanzas, too, especially if you could find a turbo Bonanza. But even naturally aspirated, you could get a V-tail that makes for a nice performer, and rather economical as well. Ed's list is a good one.
You should know ahead of time that you'll end up with a decent amount of days that you'll have to cancel due to weather, even with your instrument rating. Accept that going in, because that's not a place you want to ice up. If you can eventually get to the point where you can justify it, you can then look at stepping up to something that's more capable after you get some more experience. But to really have something that will do those areas well, you're looking at something pretty high end in the piston world. The RAM T310/320s are what I'd look at for that, personally. Got the power to climb, speed, load, and de-ice. And pretty economical to operate, as far as aircraft in that range go. But that's a few years down the road. You're on the right path to start.
See, Ed, I didn't tell him he needed a King Air, just a twin.