Having spent nearly 4, very happy, years in the area, during which time I indulged in some dedicated and in-depth research, I can recommend the following watering (and eating) holes:
Wig & Mitre in Lincoln (Bailgate)
The Bell at Coleby
Black Bull at Welton
I have now left RAF Lincolnshire, but a fellow researcher (a notable trencherman) who still lives in the area attests most effusively to the continuing quality of the inns mentioned; he is most glowing about the Wig & Mitre. I shall be returning to attend a couple of Summer Balls in the area shortly when, hangovers permitting, I intend to conduct some more, selfless, research and report back: no amount of effort is too great in this worthy cause.
Meanwhile, to start with, make mine a pint of Timothy Taylors.
Any spelling errors in the foregoing are, unfortunately, not alcohol induced