I am in S Cal, so keep that in mind - things are expensive here. My 05 which had about 18,000 miles was totaled in a fire. The insurance company ran the numbers and offered me $4,700 using some motorcycles in Minnesota and Iowa that had like 80K miles, for comparison. I felt this was a 'low ball' offer because I was looking at ST1300's on Cycle Trader and a couple of 2007 models were in the $7k range. I ended up having to file a complaint with the California Department of Insurance, because they require a comparable vehicle from the 'local market' be used, not Minnesota, and I got close to $7k for mine. (lol - they were going to give me $3 for the Hondaline trunk in perfect condition, so I kept it)
An 05 that hasn't been started/ridden for a while is going to need some work, so keep that in mind. You just need to find the right buyer, people still love the ST1300.
Here is a link to a Cycle Trader search - they have an 06 listed for $7,300 in Sheboygan
53965 - 2005-2006 ST1300 For Sale - Honda Motorcycles - Cycle Trader
Edited to add: there is a Facebook group that I joined just to see what ST1300's were selling for and I ended up buying a 2012 as a replacement for my 2005. You may want to consider posting there
Honda ST1100 & ST1300 Classifieds North America
https://www.facebook.com/groups/204600894695655