Consider a partnership - seriously.
Apart from that, if traveling to see a potential purchase isn't possible for you, you'll need to consider a "buyer's agent" - someone whose day job is to buy planes for people. They will eventually find a plane for you, arrange a pre-purchase inspection, ferry flight, transition training, and whatever else they can sell you on, like upgrades and such.
There are a few people around Europe that offer this kind of service. I haven't had much luck with that approach, but that is due to me being a CB and having the option to travel to see a promising prospect. But I did kiss a number of toads that didn't turn into princesses as well.
Again - do look around and see if you can get into a partnership. Most planes, especially here in the EU, don't fly as much as they should, and a good partnership is in the best interest of all parties involved. I just paid 250 EUR to get two friends added to the insurance on my M20K.
And when looking around, don't get fixated on a M20J. Do consider that a different model might be acceptable, especially if in a partnership (especially non-equity). I wanted a J, ended up with a K, and am happy about it.