The best you can do is throw it up on eBay for a BIN of $3000 and provide Offer capabilities and let people throw offers at you. Don't be lame like some people and try to do $3000 BIN and then set the lowest acceptable offer at like 10% less. It's extremely annoying when sellers misuse the offer function. Let it ride to $0 and see what people want to pay for it and take the highest bid. (if someone uses the $3000 BIN I strongly recommend refunding their money and not sending it unless they have like, 400 trillion positive feedback. No but seriously don't send it unless they have decent feedback rating)
If you absolutely have to go back and forth then set counter offers accordingly. If someone wants to be an insulting lowballer with like $5.00 offers then deduct their offer from $3000 and send that as counter
If someone throws an offer that makes you want to say yes then don't be afraid to counter with another $50 to a hundred or five depending on their offer price. They'll say no and meet you at the middle or whatever. Point is, the final offer is in your hands.
The best thing you can do is be absolutely honest in the auction. The last thing you need is to tell a lie or hold back information. You don't want to deal with refunds with this kind of stuff on eBay.
Knowing all of this whether by your own experience or me telling you will better help you figure out what the value of it truly is and not rely on an individuals opinion. It's not like there's a long line of broken T-Xs sold on eBay for anyone to know what the market price is. I always just set stuff at mint price and allow offers. Any other way is farting around with your time, trying to set prices based on what YOU think it's worth. Let buyers inform you of what they'll pay. You can then bump their offer up a little bit more because
everyone underbids from eBay to craigslist. Don't let them off the hook, make them pay alittle bit more because they WILL.
BTW considering the piece I would do one of those long term BIN auctions and be in no hurry to accept offers, even if it means the piece goes with you to new home. Instead of taking say a $800 high offer, you might get a $1500 offer a month later. I don't know, that's up to you. T-X isn't a common piece and buyers need time to check eBay on a whim for it...