If that's your tradition....I say stay with it...I always thank God for my harvests. I do my best to never take a shot that I cannot make....but everyone messes up sometimes....I don't have a truck anymore so my deer ride home on a hitch rack out there for all to see. I have never had a problem...in fact I have had many people taking a look or two...it does help I live in the country.
As for the blood on the face...its similar to the movie Red Dawn...they do that and drink the blood....nope not gonna drink the blood but for a kid to get some blood on them...I think that is a good thing...kinda brings things full circle as to what just happened...you took a life...The deer died...it is a happy and sad thing...but if it makes it understood that it is ok to be happy about a kill and still respect and use the animal you just killed, then I say go for it.
that's my 2 cents lol