How robusts your trailer?
How high off floor to base?
A chap came to collect a 700kg lathe plus extras in one piece with nothing more than an 8x6 twin wheel trailer and tie down straps from Barnard Castle, all in the dark last October.
Rear had a drop down gate, we placed a board up at an angle and skidded the lathe on stand up by using the ratchet tie down strap. Base around 16" off floor a bit high.
4 scaffold poles come in handy to roll the machine on, one handed.
Similar weight current machine but wouldnt entertain it as it dont like sliding, its a 6ft crow bar job 1/2" by 1/2" at best.
We used a 1 tonne engine hoist about £130 or £60 s/h to lift via the central balance point lifting eye bolt. Also used 9 years prior with an 800kg mill. The problem you may have is total height you can lift, so some juggling of the lifting straps is in order. Then you need to get the crane under the trailer or buggered.
Another alternative dependant how far the machine is away. Find someone with a hiab that will take cash, i paid £100 12 years ago so gone up for a 33 mile round trip. This was a 15 tonne truck high sided but also took a scrap car away as a bonus.