Ummn,
Prior T-58 (1750 SHP) & T-64 (4340SHP) Tech here.....
The problem with using a Turboshaft engine is the fact that most of them are designed to operate at 100% Ng (gas generator speed) the speed of the aircraft is varied by the pitch variance of the rotor blades or prop.
Basically there is really no good way to create a variable throttle because the fuel control only has 3 positions (18%, 56% ground idle and 100%) The fuel control is alot like a fuel distributor on a CIS injected vehicle and there is no really easy way to change its internals to allow variable throttle.
In the Abrams tanks the drive is hydrostatically controlled to achieve the speed that the operator wants, almost like a Bulldozer. The engine operates at 100% and drives a hydraulic pump that creates pressure to move the vehicle at variable speeds.
I have worked out a way to allow for a variable fuel control but it would be very expensive to create and would also be risky and could create a gas generator failure or combustor failure if the fuel mix was not perfect. The combustor can easily explode if the proper mix ratios are not adhered to during throttle up... basically a lean out could blow your car to hell and you with it....
Why have I been working on this- because I wanna use a T-58 Midship in a VW bus!!!!!
Ok... If you are gonna use a Turboshaft in a 914 I'd start with a T400 pack or a T700 pack. Both of which are much more compact than the T58 16 stage engine that I'd want to use in the bus- its almost 6 feet long but only weighs 415 pounds!
One thing that you have to remember is that a Turbine engine has to have very HI RPM to even start. This speed cannot be attained with an electric starter-you would need 3,000 PSI and a 10" accumulator to dump the pressure into the starter. In Helos these are manually pumped systems (some are electro mechanical nowdays) that take a solid 5 minuts of pumping to work up to 3,000 PSI just to fire up the APP (Auxiliary power plant) which is a small 110 SHP Turbine that provides power for the #1 Hydraulics system which provides Hydro pressure for the main engine starters to operate... The engine won't self sustain until you have 18% Ng or about 1500 RPM...
It could be done in a 914- I'd help anyone that wanted to do it and I have hook ups for the engines that no longer are airworthy....
Yes- I'm crazy