Spoke in the local office with "Sandy," and attempted to find out whether there were specific offsets he'd be willing to cut. (Am under the weather, and thus was sufficiently tonguetied that I didn't attempt to get her full name.) Was told that ~"Congressman Sessions is very dedicated to cutting the budget, but we'll have to get in touch with the D.C. office for specifics."
She promised a timely reply after taking down my home address and daytime phone number.
Of course, that reply might come in a more timely fashion if more locals bugged them... particularly up in said DC Office:
Washington D.C. Office: Congressman Pete Sessions
1514 Longworth House Bldg. Washington, DC 20515-4332
(202) 225-5878 fax
Dallas, TX Office:
Congressman Pete Sessions
Park Central VII 12750 Merit Drive, Suite 1434 Dallas, Texas 75251
(972) 392-0615 fax
This district was gerrymandered into Sessions' favor last year (no complaints, the previous gerrymandering made even less sense). Sessions himself has voted pretty well for an Establishment Republican, including voting against some of the more insane educational and social-liberty-cutting measures that came down the pike, in stark contrast to Martin Frost, against whom he ran last year. If Sessions' staff can be made to understand that the budget is taken seriously, then he might be shifted from the "secure funding = happy costituents" into being a bit more budget-minded.