Have you searched for folks who've done it before? This is the most recent trailer swap using the "span the trailer" approach. May give you an idea or two. I would strongly suggest using a bit heavier lumber, but you get the idea...
viewtopic.php?f=11&t=27544&p=340255&hil ... ap#p340193
In the dirt, off a rotten trailer. Couldn't have been much more difficult...
If you have a bunch of cross members to deal with, you could jack the bow up and use a large cross beam to span the trailer.
I would not lift it by the bow eye.
I would build a bunk shape to spread the load wherever I picked it up, mimicking the shape of the bottom. Progressive jacking and blocking will get the boat where you need it with a bit of thought and planning. You might have to buy $100 worth of lumber to get it done if you don't have stuff laying around. Use big blocking 6x6,etc and do it on a flat concrete surface if possible.
Don't know what cranes rent for where you are, but your idea of blocking the stern and crane lifting the front (using a strap and spreader), would cut the load in half and be a safer operation. If the cost of lumber and time is more than the crane rental, it's a no brainer.
Will your old trailer get you to a marina with a travel lift?
I have an M and I'm not sure why you couldn't get it off the stock trailer with the block/jack method.
But, bottom line; if you aren't comfortable doing it, call the crane guys and tell them to bring straps, spreader bars, and hull stands, etc to make the swap. Breaking your boat, or hurting yourself isn't worth it.