Well a "semi-solid" FJ40 is still old and usually will need maintenance. You are looking at $7-$10k for a running driving FJ40 that will probably have less rust that, but maybe not. If you are at all thinking engine swap, get the best bodied/framed setup you can get. Thats kind of what I tell everyone, find the best body.
Not sure what your expectations are out of a 3B and the words daily driver

but they are pretty slooooow without aftermarket turbo. You can make a 2F run really nice for much cheaper than swapping a 3B in.
If it were me and I was wanting to eventually swap a diesel in (because I love diesel) I would just get the nicest FJ40 I could. BJ40's are much much harder to find in great shape.
$15-20K can get you a nice FJ40 FROM THE RIGHT SELLER! I would get in touch with
@overton for some nice FJ40's that are around that range. Watch out for other sellers and feel free to get opinions on here. There is a TON of knowledge from people that have been down this route many times.
www.lcnation.com