For those who know theory, If I played the chord in question and asked you to name it and I played no preceeding chord and none after, what name would you give to the chord? (B-F-A/E-A-C#) Would you call it a chord at all? Would you make assumptions and call it a chord? If you made assumptions, what would be your basis for those assumptions.
To answer your question, I'm going to approach it from a "does it sound good perspective." 11th chords typically do not sound good with a major 3rd and a major 11th/4th present (i.e. dom11 Maj11) unless you are really going for some type of "clashing sound." As a matter of fact, take a look at a few various 13th chords and you will probably find a root, 3rd, 7th, 9th, alt 5 present, but not an 11th.
When dealing with dominant and major 11th chords, two things usually happen. (a) the 11th is sharpened, or (b) the major third is omitted. Its difficult to properly name a chord without context. But if I had to communicate this chord to another person, I would have to go with V711b5 omit the 3rd.
This to me hits all the important chord qualities. root, no third, b5, dom7, 11. Theoretically, it could be wrong. But I think your intended receiver will accurately process the info.
