score:5
I don't think it's possible. It would also be very difficult to go to Norway and apply for the Austrian visa during your stay in the US (it would be difficult - time wise - if you were a resident and not being a resident makes things even more difficult). As others have already commented, the length of your trips is also a problem, slightly over the limit for short stays, and would need to be adjusted to be doable with short-stay visas.
Austria being your main destination and apparently an important one (as you would be studying for 60 days!), I think the most reasonable course of action is to get in touch with the Austrian consulate and apply there first. Depending on what they tell you, you have two options:
In either case, when you apply, you should attach a letter explaining your plans carefully and why you want them to issue a somewhat unusual visa. But be prepared to get only a regular Schengen visa for Austria and to have to forgo your trip to Norway. I am just bringing bad news but also realise that a refusal is a very real possibility, you need to make sure your application is very strong to get even that.
Upvote:1
If you have both visas "Visitor" like "Visitor general" and "Visitor - study" then you need to change your plan a bit.
If you second visa is "student" not a "visitor". You should be able to apply for both visas now in advance. 90 days rules should not apply to you, as your second visa is "student".
You can not apply for visa in US, if you will stay there just for 15 days.
Upvote:6
You will need to adjust your travels plans as there is rule that in any 180 day period you can be in Schengen area for maximum of 90 days (source: https://travel.stackexchange.com/a/21461/12462 ) Your stay in Norway and Austria are 102 days in total. They are separated by 15 days stay in US but they still in same 180 period so you need to shorten you stay in Schengen area from 102 days to 90 days.
I entered your travel plans into this official caculator http://ec.europa.eu/dgs/home-affairs/what-we-do/policies/borders-and-visas/border-crossing/schengen_calculator_en.html and result is "Days of stay in the 180-days period from 29/04/16 to 25/10/16: 104 day(s) Overstay in the period from 12/10/16 to 25/10/16 (14 days)"