You have some options:

1.  Hexagon OBTI http://www.seidden.com/Hexagon.htm , based in inmunocromatography (monoclonal anti- human Hb antibodies) if you want to detect human blood.

2.  specific human STRs markers, as the kits NGM and Globalfiler or Minifiler (Life Technologies) or ESX, ESI, Phusion, from Promega.

3.  another human markers as InDels as Dipplex Investigator Kit (Quiagen)

4 Markers that can identify animal species as SP InDels

I have had some experience with this.

The immunology tools are good but sometimes they don't work once the blood is partially digested.

The best experience I have had was with sequencing of PCR amplifications of vertebrate genes.  We would just extract the total DNA from the insect abdomen and amplify and then sequence the  PCR amplicons.

Also if the blood is degraded you can use forensics kits since these are used for even degraded specimens.

We usually recommend to apply precipitin immunological test.