I've used these guys https://www.a1autotransport.com/ before (last year) and would recommend them. No major issues and they seem like they've been around a while. I had the same experience as you as far as solicitations from some of the brokers I gave my info to. Best idea is to use a temp email...
Glad to hear it! Gotta wonder if the proposed new regulations from the EPA about cutting emissions is steering that movement. No way automakers can get compliant in time if they don't focus heavily on EVs.