After four away victories in this season's FA Cup, the Pilgrims boss would love to see the stadium host one final game in the competition before the club move out this summer.
"The point of this run is to create a big memory back at York Street," he said.
"We all know what this means o the club and I think it'll be fitting now to have a big occasion at home.
"The fans were unbelievable today. I was a bit emotional at the end with people telling me about the big occasions and moments at Boston."
Elliott added: "It's a long journey home and I'm really happy.
"They're amazing, the fans. My team talk was based around that.
"I knew they'd give us everything and we had to give them everything back.
"This is why we do it, they're the heartbeat of the club.
"Now they've got the excitement of waking up Monday morning and looking forward to an FA Cup draw."