Sir Maximilian has the alternative of a Listed race at Chester instead of heading to Goodwood for Saturday's 32Red Cup.
After missing the cut for the Wokingham at Royal Ascot, Shropshire-based Tim Pitt tried his sprinter without success at Newcastle and Hamilton but he returned to form across the Irish Sea in the Rockingham Handicap.
"He came out of the Curragh in really good form," said Pitt.
"I've also entered him in a Listed race at the Chester on Sunday and we're going to have to sit down and think.
"On the one hand, I'd be of the opinion that there's only one Stewards' Cup, and he liked strong pace. He'll get that at Goodwood but not necessarily at Chester.
"But on the other hand, Chester's on the doorstep and Goodwood is five hours away.
"Before he won at the Curragh, everyone was on the opinion that he has to have soft ground, but I think he just wants a safe surface.
"I'm sure that's what (clerk of the course) Seamus Buckley would provide at Goodwood."
Twenty-eight horses can face the starter for the huge betting race, long known as the Stewards' Cup, and hot favourite Muthmir has been confirmed. The 7lb penalty he would carry for winning Saturday's Sky Bet Dash at York will see him safely into the final line-up.
The odds for William Haggas' gelding collapsed when he scored at York with some authority, while the trainer could also still run last year's winner Rex Imperator.
Most of the leading names in the market remain in the mix, like Alben Star, Robert Cowell's in-form Intrinsic and Mike Murphy's valuable Ascot handicap winner Discussiontofollow.
No less than 109 horses stood their ground at Monday's entry stage, with the first 28 balloted out set to take part in the consolation 32redsport.com Stakes earlier on Saturday's card.