Yep - That is the dilemma, try it with a dead market for even more fun where you find the prefect place but can't get rid of yours.
Good news is most people are in the same boat.
Stick it on the market, fire up rightmove and kick a few tyres to 'hone' your search, you will get brilliant at assessing houses on the internet/from first 30 secs of viewing.
People asking are wanting to judge whether you are wasting time so - got an offer is better than on the market is better than getting valuations.
One other point - there is very little added value from any estate agent and the valuations are usually bumped up - market decides the price.
SO - I just kept going till one agreed to do it for 1%. I would seriously consider using internet only, I can take better pictures and could do the viewings, if you cant, then cheapest local agent is best.
ANYONE who can get it on rightmove is fine, no-one cares who is advertising it and no-one trawls the local agency shops anymore for ya normal type houses.
Good luck, I had a nightmare with last minute changes, arguments over dates for moving etc....