I'm assuming that ewes won't cycle until their lambs are weaned.
You absolutely can't bank on this. It's a fallacy to say that they can't conceive while they're lactating.
Your riggs could be fertile if the weather turns cold - we were not the only farm around here had some unexpected lambs one May, after sub -10C temperatures in the December!
I left my tup in with my flock right through last year, interested to see what would happen. First to lamb, as always, was Dora, who is 1/4 Charollais (they can start to cycle in August, or earlier), lambed on March 9th (tupped 13th Oct.). Next was Pricket, a Manx, tupped 23rd Oct lambed 15th March. Most of the Shetland X Blue-faced Leicesters lambed before the end of March. Most of the part-commercial gimmers also lambed before the end of March. (All are at least 1/4 Shetland apart from Puglet, who is Icelandic X Dutch Texel.)
The first of the pure Shetlands lambed on April 2nd, and the last to lamb was first-timer Carrie, a pure Shetland shearling, on April 19th. Her mother Anya was the last but one to lamb, on April 12th.
Most of the Manxes and Manx crosses were done by the time the pure Shetlands started. The Castlemilks and Castlemilk crosses were in the middle. The Sheltand X BFLs were all in March.
Many of my girls lamb on more or less the same day each year, irrespective of when the tup went in, or, indeed, whether he was with them or nearby for a while beforehand. And several of the daughters lamb within a week of their mothers.
This year, I'll be keeping the tup off them until November. I am not going to tup many, but one that I do want to tup is Carrie. I wonder if she'll be last again.