[CalebD]

Congrats on buying a boat built by a company that once made a quality product (yes, the T27 was their first production model with many still around). Mitiempo tried to link you to the Tartan 27 owners group but the page linked on that site is not where more then 200+ T27 owners gather. I started a yahoo group called: T27Owners and we have quite a few very active members. Create a yahoo id (free) and join the T27Owners group (free). There are a few T27 owners who are members who might interested helping you with the delivery/transit of your boat from Fart Louderdale to the St. Johns River.
As others have stated the T27 is an older design with nicer lines then the Cal 29 and (ugh) more external teak depending on when it was made. The T27 was made as a tough coastal cruiser that can handle some sloppy conditions with the right skipper and crew.
The trip from Ft. Lauderdale could be done in the ditch or outside when the weather window suits. It is over 300 nautical miles (nm) to Jacksonville/St. Johns river entrance. In the ditch you would be lucky to get 50 nm per day under your belt; weather, traffic and bridge openings permitting and that would be setting out after daybreak and finding an anchorage or mooring in late afternoon. Getting to Jacksonville could take a week, weather permitting.
If you had the weather window for motor/sailing outside and had the crew to go 24/7 with all systems reliable it could be done in about 3 - 4 days to JAX on the ocean.
It is about another 80 nm up the St. Johns to Palatka which could be done in 2 days in daylight only. I don't know the St. Johns or it's tidal currents but my guess-timates are based on making about 4 - 5 knots of speed most of the time whether motoring or sailing.
I don't know what delivery skippers are charging these days but at a minimum it would cost you about $250/day for a captain and maybe another crew member to bring it up for you. At that rate for nearly 7 days it would be: $1750. Beware of cheap delivery captains with few credentials.
If you can take the time I recommend you try to get her up to the St. Johns and at your leisure get her up to Palatka if you can find some crew (again, check the T27Owners group on yahoo as well as the Crew Wanted section here on SN). What most potential crew members are going to want to know about are your sailing background, the systems on the boat (VHF, GPS, Chartplotter, Autopilot, Radar reflector, etc), the shape and age of the rigging, tender or dinghy, anchors, reefing lines for the main etc, etc...
Which hull # did you buy? Are the diesel and sails in good shape? Does the center board come up and down easily? Is there a roller furler jib? What kind of stove in the galley?
I did a delivery of our new to us T27 from East Hampton (almost Montauk) to the western LI Sound which was just under 100 nm. No 'ditch' to go in but we took 3 leisurely days in protected waters and relied on the old Atomic bomb (A4) a lot. I highly recommend that you participate in and organize this delivery trip yourself because you will learn a lot about the boat, it's systems, the FL coastal waters and you will understand your 'new' old girls capabilities.
I will add that a total crew of 3 on a T27 for a multiple day trip is probably optimal as you will need to use a bunch of space for other things. A crew of 4 is the practical limit but will be crowded, IMHO.
PM me or email me if you have any concerns.