First of all, you need set a budget on how much you can afford to spend on a stud fee, in addition to all the other care you’re going to need (vet, board, etc). Once you’ve established that, it will be easier to select a stallion that will work for you.
Second, is to always remember that getting a horse to the track can be a daunting task, and even then they may never start, or win, and it is a costly endeavor to get them there. It can cost anywhere from $30-40k+ to keep a horse in training for a single year.
Third, while you mentioned that if racing should not work out and you want to be able to retrain it for another suitable career, I am assuming you do not plan to sell the foal as a racing prospect? If at any point, you think you might offer the horse for sale, selecting a stallion who has good marketability in the sales ring is a must.
To be a PA-bred, you must meet one of the following conditions set forth by the PHBA:
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For foals of 2008 and thereafter, the dam of the foal resided continuously in Pennsylvania since October 1 of the year of conception through foaling.
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The dam of the foal was purchased at a public sale after October 1 of the year of conception and brought into Pennsylvania within 14 days of the date of purchase and remained continuously through foaling. During the year of foaling, the foal or its dam spent at least ninety (90) days in the state. MUST BE A COMPLETED PUBLIC SALE - NOT AN RNA (Reserve Not Attained) or a private transaction after the public sale.
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The dam of the foal was bred to a stallion standing in Pennsylvania which was registered with the Pennsylvania Horse Breeders Association as a Pennsylvania stallion during the breeding season of the year of foaling, and said dam of the foal resided in the state for at least ninety (90) consecutive days during which foaling occurred.
Now for stallions you have mentioned…
Partner’s Hero is standing at Castle Rock Farm in Unionville, PA. $2,000 fee.
Lido Palace was exported to Peru.
Duckhorn is now standing in Illinois for $2,000.
Pennsylvania has improved it’s quality of stallions over the years and the more nationally known sires Smarty Jones, Silver Train, Snow Ridge, Delaware Township, Petionville, Offlee Wild, Medallist, Jump Start, E Dubai, and Albert the Great are now taking up residence in the state.
You might find the Blood Horse’s PA leading sires list helpful:
http://www.bloodhorse.com/horse-racing/thoroughbred-breeding/sire-lists/general/Pennsylvania
From a sport horse perspective, Harry the Hat (by Seattle Slew), Formal Dinner (by Well Decorated), and Ameri Valay (by Carnivalay) come to mind.
As for your mare, she has some nice names in her pedigree, but nothing that really makes her stand out as being a potential producer. You have to go to her second dam to find any quality, as she had a couple of stakes winners - Puerto Rican G1 winner Launch Sequence (by the Mr. Prospector son, Cape Canaveral), and G3-placed Ghostly Gate (by Silver Ghost). Under the third dam, Hobby, you have her daughter Just A Game, who was the champion turf mare of 1980. IMO, I think you’d just be wasting time and money with her…