This query finds some:
tgrep -w 'TOP <<, (S <<, (X <<, (NP $. ADJP|PP|NP)))' | more
The problem is that absolutes do not appear to be parsed in a consistent manner in the corpus. However, at least some with-less absolutes are parsed as 'X', at least in initial position. (Starting with the X, and leaving off TOP and S, does not turn up any absolutes elsewhere in the sentece, but does get more garbage.)
The similar query below, designed to find absolutes with participles as predicates, turns up none in either corpus.
tgrep -w 'TOP <<, (S <<, (X <<, (NP $. (VP < VBN|VBG))))' | more