score:3
Can I get a visa-on-arrival to do that?
I don't believe. India is not a "visa on arrival country"
I have a valid Tourist (C-Type) Schengen Visa.
You would qualify if you had a Schengen Residence permit. I don't think a tourist Visa will help here. See https://u.ae/en/information-and-services/visa-and-emirates-id/do-you-need-an-entry-permit-or-a-visa-to-enter-the-uae/visa-on-arrival
3 hours also seem awfully short for a self connection, especially since you have to clear immigration and customs.
Your best bet may be to connect somewhere in the Schengen area. Currently the only two flights from Schengen to Chennai are operated by Lufthansa and Air France. You have more options going to Delhi or Mumbai first. Yes, this will be more expensive, but the routing is safer.
Upvote:1
For Indian passport holders, you can get visa on arrival in UAE ONLY if you have EU residency. Schengen Type C does not qualify for VOA.
However, if you have have a tourist visa from USA or UK, then you will be eligible for UAE VOA.
Check if you are eligible for transit visa at AUH https://www.abudhabiairport.ae/en/passenger-guide/transit/things-to-do/more-than-4-hours