I don't see why it would make a difference. Why would your body go haywire?

I would think that as long as it wasnt a big stretch you should be fine to do it in a couple of days? When they stop feeling sore probably.

I just got to somewhere between a 10-8g (spirals, so I'm moving up at the rate that the crusties and tenderness stop rather than any concrete schedule) and same as you hope to be somewhere around a 6g by july-ish give or take if something hurts and I have to slow down. I'm a wuss, and I have no desire to go too fast.

Unless you have reason to believe you are immuno compromised, I would say you should be alright. If you're sick, tired or otherwise not mentally in a place where you are feeling good about it, put it off.

I wouldn't push for additional stretching in the week before, and the week after getting your new ink. Mostly because it's mentally tiring to have to go ow, my ears ping if I answer the phone to hard - oh, ow. My shoulder hurts when I put on clothes. One annoyance at a time is enough to deal with.