I have a paid app in the Play Store (Profile Widget, in case anyone is wondering ;)) and I want to allow some users (friends, or people who do not have a credit card) to dow
I have the same problem, I've checked and from what I can see there is no analog to the Apple system (Give out a one-use code to download the app).
If you just give them the APK you don't get Crash/ANRs from them and they won't automatically get updates.
It is something that Google really do need to fix, sorry there isn't a better option.
(I have the same problem for my own device (you can't buy your own app), I had a crash that was rare in the app on my own phone, but I couldn't reproduce it at a computer and the logs had well cycled past the error by the time I did, Being able to get the crash report through the developer console would have saved me a lot of mucking around)