Andreas,
I do not have my books at hand. Information taken from here
http://ww2.dk/air/jagd/jg27.htm is what led me to believe that Stab/JG27 was equipped with the Bf109F aircraft shortly before Operation Barbarossa.
...
5.41-14.6.41; Werneuchen; Bf 109E/F
14.6.41-25.6.41; Sobolewo; Bf 109F
25.6.41 - 4.7.41; Wilna; Bf 109F
...
Now, if you are convinced that the above information is not accurate, than indeed we have to look for another candidate.
Regards,
Sinisa