If we take a Cease Fire immediately after capturing Ankara next turn then military units will no longer be able to sabotage the Samsun Silk. If we can place 2 or 3 of our spare Spies onto the Silk, this should stop sabotage from Espionage also, so would mean we don't need to settle a new city or continue with the war and raze other cities.
As for number of Diplo Victory votes, we already have over 60% (counting Ankara as ours), and we have a reasonable buffer also. Most of our mainland cities will grow over the coming turns having been whipped in the recent past, so our lead in the UN votes race is much more likely to grow than it is to reduce.
So, for me, I'd capture Ankara, take a Cease Fire, raze no cities and build no Settlers. This would give us 10 turns from now to the end of the game, to spread Hinduism to 6 cities, claim and protect Silk and transport the GPs (10 turns being 1 turn for the Sec Gen result, 8 turns between votes and 1 turn for the Diplo Victory result).