You have overestimated costs on a lot of your household stuff.
Water heater -- in many places they tell you water heaters will last 8-10 years because they get clogged full of hard water deposits. Not in Oregon, though - our soft water means they go on for decades. I had an installer tell me he knew of one that was still going after 35 years. Mine was in the house when I bought it 19 years ago and it's doing fine. Really there is no need to save up for something 19 years in advance.
Washer/dryer -- yeah, they'll give up at some point, but it could be years away. I bought mine used 19 years ago. Still going. If you don't wash obsessively (I mean like some people do, putting in a load of just towels every day after taking a shower), and line-dry, they'll last even longer.
Look for furniture etc. at estate sales. Generally things are marked down to half price on Sundays. Don't buy any of that stuff new. The older stuff is much cheaper and generally much more durable.
A good front door should run you around $300.
Put all this extra money into eliminating your MI.