I agree - no evidence, but aspirin in a low dose is not bad for the kidney. I would recommend it for that reason and its potential benefits in heart disease.
Using ASA in patients with hypertension along with CKD is needed as it reduces the cardiovascular complications (Jardine MJ, J Am Coll Cardiol 2010), despite the slightly higher risk of bleeding.
ASA might be beneficial in patient with glomerular proteinuria, particularly MPGN (Zäuner I, Nephrol Dial Transplant. 1994), however it was shown that it might cause worsening proteinuria in diabetic patients (http://circ.ahajournals.org/cgi/content/meeting_abstract/128/22_MeetingAbstracts/A10863).
I believe the net benefit of using ASA on patients with multiple cardiovascular risk factors, including CKD and proteinuria, outweighs the possible harms.