Done lots of Gundrilling to 40 " depths from 3/8" to 1" in Diameter and also designed and built a Gun Drill platform /system
I do not want to discourage the poster as sometimes great things are discovered by experimenting and doing things that no one else has done
So let me say a few words about the parameters of these drills.
Gun drills are very frail and made with thinwall steel tubing. The strength is not related to the tubes wall thickness, but to the pressure it operates at. The higher the pressure the more rigid the the drill. the more rigid the drill, the faster the feed rate can be .
Our drills ran at 4,000 PSI (and some small drills -not ours) go to 10,000 PSI. At 4,000 PSI on a 3/4" drill, we would feed at .0005 per revolution ( 800 RPM) .
Part of the pressure is lost due to chip evacuation. at the exit hole to drive chips back to the spindle which may bleed off 25 % of the pressure, so the drill only has 3,000 in our case and the other 1,000 is used to drive the chips out of the hole. The most difficult part is oil control and filtering. You need to collect the oil , then filter it so you do not destroy the high pressure pump...obviously, the higher the pressures, the more sensitive the pump becomes and The smaller the oil system is, the harder it is to do this.
I think gundrills them selves are pretty cheap, but maybe the poster has a weird size that he wishes to make. I don't understand his design , so cannot comment on its operation or considerations. I assume he wants to do this in a lathe, and the small drill means requires very high rotation speeds .
I covered some of the aspects of gundrilling in another post on another thread years ago and you can access it here.
https://bbs.homeshopmachinist.net/forum/general/44496-deep-hole-drilling-101?t=43432
One of the problems of posting is having a college kid thinking he has all the answers with no expeience in the real world , so there is some digression with impossible theory posed by naysayers.. just read my text , to get more gundrilling concepts.
Rich