Short of a full-rigged ship, you can get from Puget Sound to Lake Washington. We have no problems with our 64' overall mast height. Looks like you're fine up to 130' or so vertical.
There are several bridges that must be opened for sailboats to pass, starting with a railroad bridge just outside the ship canal locks. If a train is coming, you wait. You sound your horn for the other bridges. You can't get through (get a bridge opening) during rush hour periods. Once into Lake Washington, heading north is easy. If you want the SR520 floating bridge to open for you, they need a couple hours notice (outside rush hour periods of course). The East span of the I-90 bridge has 71' clearance. If you need more than that, too bad.
One part of a water tour is to Ogle the Moguls who live on Mercer Island in Lake Washington.
We consider a very good transit time from salt water to Lake Union to be about one and a half hours. Pick a bad day and you could double that. We have never been caught between bridges due to rush hour closure timing, but it happens to people all the time. That makes for a very long wait.
One local source of entertainment is a trip to the locks by bike on a busy summer weekend to watch scores of boats get sardined into the large locks. The lock attendants are very good at helping to avert disasters, but some of the boaters can be remarkably ill-prepared. I have witnessed only a few minor screwups. Things can get dramatic when a boat casts off at the wrong time an the in-rush current end-for-ends them.
Gene- planning on paying us a visit?