Glad to hear you are on board with using Mr. Hoyt's services. I also agree with letting him do his thing. I would suggest a caliber that can use a common ball diameter. That may be 36 or 40 cal. He may need to go 40 to get into clean material. Let him decide.
I would not cone it. It will not help accuracy, probably hurt it. It will not make loading significantly easier with a tight combo necessary for best accuracy. A well done smooth crown is easy enough to load and shoots better, on average. I get he sense that coning advocates are less accuracy obsessed and more into seeing how many shots they can get between cleaning. I am not disparaging anyone, there are just different perspectives out there. Opinions differ on this one, you just got mine.
Just lapping the heck out of it may not come out a common size. Hoyt will not likely spend hours and hours lapping your barrel. Freshing involves casting a lead slug and inserting cutter in the slug. This is hobby stuff. He is running a business and and must do it his normal way to make money.
For what it is worth I have had bad luck with round bottom rifling. I have demanding accuracy standards. I bought one round bottom barrel to see for myself. It sucked. I replaced it and it now resides in the scrap steel pile. I believe the grooves were too deep to make a gas seal with any loadable patch and ball combo. Thus it shot very poorly, about 5" at 50 yards. There is no reason a good barrel shouldn't do under 2" at the same distance.