I ran some races at that pace and it is certainly feasible for you to. In each case, there were external things that went wrong that probably added 1-2 minutes to the time. I was getting in better shape the next season until pronation hell did me in (arch -plantar area, hip tendon, meniscus).
My marks are shorter distances were substantially weaker than yours, especially on the shorter end. At the time I did several 2:35s my 10K PR was 34:40+, although I also had a low 69 20k (same pace). My Half was 74 but it was on a rolling course, a little warm and not in peak shape.
I tended to run more than you are, a lot of 80-100 weeks in the couple of months before. 10 extra miles a week should not be that hard, as it is only one more hour. One thing that I did that others that were as fast or faster at other distances but ran 2:40s and 2:50s is that I ran some of my long runs at pretty good pace. I was of the notion that you are not wanting to train your body to go slow for a long time. The physiological demands at 6min pace accrue when you get up to 20 miles, glycogen storage etc is key. However, slow long runs allow you to meet the demands with a lower portion of glycogen and the muscles do not compensate by storing more. Not all of my long runs were fast but some of them, and sometimes just 10 miles at 5:50 with rising pace for 5 and slower for the last several.
I think that it helped that I ran pretty close to even pace (except for one of those 'external factors'. The upper limit of what you should be able to do if you are doing enough mileage is 10K time x 4.666 or 10% slower than 10K pace. Given your mileage I would expect 4.8 or so. Figure out the necessary pace (5:55) and try to hit each 5-mile segment between 29:30 and 30:00 (adjusting for elevation changes and wind). I had pretty good courses in at least OK weather, warm and/or windy will slow you down some.
The other important aspect of even pacing is that you are knocking people off one-by-one (unless it is too thin at the top). This helps psychologically and you do get a little 'depressed' due to using up your glycogen stores. I always had no trouble figuring pace and splits until the last 5 miles when the brain ran more slowly and I had to focus even more on the running. (Oh yes, focus, don't zone out.)