I pretty much stayed away from SUVs in most of the posts above. There are not many station wagons on the market and that is why many are talking about SUVs on this board. Worse, there are not many reliable station wagons on the market. Pretty much all viable options were covered above by everyone - including the not viable ones if you want a reliable one.
Subaru Outback, VW Golf Sportwagon, Buick Regal TourX, Kia Soul, Volvo V60, Audi Allroad, Ford CMAX Hybrid, Volvo V90 - that is pretty much every model on the market at this time.
Audi is out from a sheer reliablity aspect. Stay far away from that option.
Volvo is better, but still very risky because the models are pretty new and reliablity starting out has not been great (but it does seem to prove over time historically).
Above that is the VW Golf Sportwagon. As Lectrofuel does point out, for six years you get a warranty. The problem is you want to keep it for ten years, and that is just luck if you make it that far with that.
The Ford CMAX Hybrid has not been mentioned yet - it is an okay car. First year made was 2013 so it has not been out long. First two years overall reliablity is average by Consumer Reports, above average after that. In Car electronics and power equipment are problems but otherwise they are fairly solid cars. The first year has some driveablity issues and some creaks and rattles in additon, but that is about it. Will it last a decade? Hard to tell. Ford's hybrid technology uses some Toyota copyrights (they paid Toyota for them) so they share some hybrid technology with the Prius. I put it here as more reliable than the cars listed above as I believe they probably will be mostly okay for a longer life. It maybe too small like the Kia Soul, however.
About at the same level of reliabity as the Ford I put the GM product here - the TourX. First year production means more issues usually for a GM product, but sometimes they get it right (the Bolt was pretty reliable its first year, as was the Malibu when it was redesigned). However, sometimes they get it very wrong (Cadillac ATS great example of that). Buick is their best division because the cars are sourced from countries that use six sigma better than the USA (Regal - Opel, Encore - South Korea, Cascada - Opel). However the LaCrosse and Enclave both sourced from the USA are less reliable which they do fix eventually after launch. I am going off of the Regal's development location giving it a better chance of initial reliablity - but not perfect.
The Kia Soul and Subaru Outback are probably the most reliable offerings on the market right now in the wagon marketplace, both better than the two US offerings for the reasons given. However the Kia maybe too small, and you have mentioned problems getting into a Subaru for a test drive. If neither are on option, look at the two American brand and the VW before considering Volvo (at least I would if I were you).
You probably don't want to hear this, but getting a good, reliable wagon for the long term right now is just not that easy. I don't believe I missed any wagon in the marketplace with this list. I was just in the marketplace for a new car when a tree fell on my 12 year old Saab made by GM which had 172,000 on it so I looked at some of these wagons very recently. I went with an SUV in the end when I could get $13,000 off the MSRP due to massive discounts making it a great deal back in April.
Best of luck in this hard decision, test drives are going to be important in this case since the reliabity after the last two mentioned here is going to be more hit and miss.