The 2-year term makes things a little tricky, which is why I don't think Winnipeg or Buffalo would trade for Andy, since Comrie (next year) and Ullmark (this year) will be waiver-eligible.
If Corey Crawford's vertigo is career-threatening, maybe the Hawks could be a good fit but that's a big decision to make on Crawford.
I can think of two potential spots that could work, but Ottawa would have to take a goalie on an expiring contract (with maybe a mid-round pick) in return:
PHILADELPHIA (for Neuvirth)
Next summer, Provorov/Konecny/Simmonds need new deals, but Lehtera comes off the books and they can always buyout MacDonald if they need more space. Could be a solid tandem with Anderson and Elliott. Saves OTT $3M in salary.
COLORADO (for Varlamov)
Next summer, Kerfoot/Compher/Rantanen/Zadorov need new deals, but Wilson comes off the books. Anderson would help in case Grubauer isn't able to handle the full #1 workload. Salary is identical, but adds $1.15M to OTT's cap.