If you use google to search this site using prompts like: "prebuy site:mooneyspace.com" you will read some very nice stories, and some horror stories. Usually the horror stories start out just like your original post, followed by a bunch of warnings. Sometimes it all works out.
It is a fact that wood wings present a unique set of challenges. It is hard today to find shops/mechanics that know much about Mooney's, much less the challenges presented by wood and fabric. Most of them are retired, about to retire, or gone.
It is also a fact that a 64 year old airplane with only 2600 hours total time has sat for extended periods. After about 500 hours of sitting idle (3 weeks), the thin film of protective oil on important engine parts such as the camshaft dissipates, exposing metal to air and potentially water vapor. Corrosion can result. It's best to run the engine every two-three weeks, or install an engine dehumidifier.
Unless you are independently wealthy and have money to spend on fixing up an outdated antique aircraft, and will enjoy doing so, you will probably not enjoy owning an airplane that you cannot afford to own. If you have the resources and need reliable transportation for regular use, spend as much as you can to get the aircraft you need.
We don't buy airplanes to save money. We buy airplanes to save time.