General Seth:
I like the idea. Though I'd have a few paragraphs about the crew first. "Lincoln 5" should be a heavy shuttle, rather than the ship itself. See the link below. I wouldn't go with an experimental vessel either. I'd go with baby-steps toward the Gamma Quadrant as Starfleet & the A.Q. Alliance have no way of being too entirely certain about ~anything~. I'd go with one of Starfleet's first three year missions since their re-dedication to ENT/TOS-era expeditions. I'd go with a few Pandora-Class freighters that have been given Whorfin-Class warp-capability & armed them with scarcely sufficient Nova-Class grade armor, torpedoes and phasers. Maybe a few Mothball Fleet vessels like Loknar-Class explorers. A "Partner Vessel" or two from the A.Q. Alliance such as a Cardassian Galor-Class military escort.
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http://www.geocities.com/trekwriter31/PandoraClass_BW.JPG
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http://wiki.tf-575.com/images/f/f4/Xenon.png
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I'd have your story set among a small convoy of displaced Cardassians, Humans and other refugees, dissidents, et al. resulting from The Dominion War. Starfleet Command has noted a compatible yet already-inhabited system near Idran, and contacted the local indigenous warp-faring government. The Government has have agreed to allow A.Q. Alliance residents into their solar system, as Hortas will be useful in extracting difficult to obtain minerals in rough regions of each of the M/N-Class worlds in the system.
I wouldn't make your crew entirely Human. Add a few Tellarites, Vulcans, Deltans, Edoans/Edosians, Andorians, Klingons, a Horta or two, Binars, and even a Medusan in a specially-built Soong-type android body (as this is set in the early/mid 2390's.) Correct?
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Stardate: 72445.6649543381
Old Calendar Date: June 12 2395
Location: Deep Space 9 - Bajoran Sector
Commanding Officer: Kirk, Phillip J.
U.S.S. Nairobi
Ship Class: Pandora-Class Freighter
Registry: NFT 5210
Starfleet Transport Command Flagship
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Acting C.O. Kirk sat in a bay-style window in the freighter's replimat to thumbprint, (authorizing or confirming-reciept-of,) the first few pages of necessary requisitions and personnel logs as DS9 panned by him to his right.
"Today is a day that will be remembered throughout history. Today, the
Nairobi will begin it's journey through the Gamma Quadrant."
"Sir!" called out a Ferengi crew member. Lieutenant Gallman - appointed to the
Nairobi on his first assignment.
"What is it, Ensign?" Phillip asked in curiosity.
"We have an incoming message." Gallman responded. Gallman had a nervous look on his face. Starfleet had been considering scrubbing the mission. Using the standard wrist-comm of Starfleet's Transport Command uniform, he accessed 'Communications'.
"Bridge - this is Captain Kirk, I'll take the message here."
"Aye." The Edosian at Communications blinked out from the tiny wrist-comm on Kirk's wrist, momentarily replaced by the wreath & starfield of the United Federation of Planets logo accompanied by the words, 'Stand By'.
He wondered who it was. On the view screen stood a Vulcan man of advanced age.
"Ambassador Spock." Phillip stumbled. Ambassador Spock had worked with a legendary predecessor/ancestor of his, one James Tiberius Kirk.
"Hello Captain Kirk." Spock said in typically stoic manner.
He continued, "I just want to say, I wish the best of luck to you and your crew. Live long and prosper", Spock made the Vulcan gesture and Phillip gave the gesture back, he smiled.
"You too." Phill responded. The viewscreen switched off. Tucking his PADD in his carry-all, he approached the tiny turbolift and asked for the bridge.
The crew continued their jobs as Phillip sat in his chair.
"Captain. Communications reports the convoy's assuming launch position." called out Lt Gallman.
"Excellent." said Phillip, the excitement made his blood pressure rise. He could not wait to explore the Gamma Quadrant. He prepared himself, as the convoy provoked the Celestial Temple to blossom and embrace their approach.