Welcome to the forum and I applaud your desire to build the F1 into a street rod. Unless you have tools, a place to work, fabricating skills and the ability to weld plus anywhere from 5 grand upwards to start you're biting off a big chunk. Realistically you need, IMHO, to sit down and put your thoughts on paper and start pricing the things you want to do especially those that you can't do yourself. Dropping a late model V8, transmission and rearend into an early Ford chassis is not as easy as it appears and involves quite a bit of fabrication.
There are a number of top notch builders on this forum that have the time, money and skills to build what you are attempting and that's not to say that you can't do it, just be aware of what you're getting in to.
BTW, in 1964 I drove a 36 5 window coupe with a fairly hot sbc from Ohio to California so I've been down the road a bit.
Good luck on whatever you decide to do.