Yes it is possible to go under the minute at Deep Forest and if your good enough, you will not need a super car (F1, Escudo), I do not think it would be too difficult, On GT2 it was possible with a Supra, many more car's where faster than a Supra too.
I'll just check some times round DF, with other car's, to see which car's are under the minute.
Ok Been to check what guys are doing !
Denso Sard Supra's are into the 58s (seconds)
Nissan Skyline Calsonic's have been in the 59s
Toyota GT-One Race Car's have been down to 55s
787B 59s but should be better than that!
F1s are now running in the 51s
Just an example as to whats possible with what. I hope this helps answer your question

cya