sounds like you are needing lots of power at fast flash duration with HSS.
with budget in mind this is a tough one.
usually one of the fixes has been add a second head or bi-tube to the output channel and this will decrease duration by half.
powering down increases flash duration 4 fold... but depends on quality of pack.
using many units at low power to make power requirement keeps duration fast but is costly.
if you are also needing HSS thats another can of worms... speedlights cant do it... then
gotta go elenchrom or profoto
profoto air systems syc up to 1/1500 with Air system strobes.http://www.profoto.com/air
in the past hass and most leaf shutter 4X5 & 8X10 lenses sync up to 1/500 and 1/1000
there we had tons of power issues needing to light @ f22 to f45 !! yes depth of field was critical when shooting a subject with a standard 150 or 240mm lens and close up subjects needing +2 stops more light with bellows factor incurred. now shooting 35DSLR is duck soup.
-- high iso now will allow you to operate your studio lights at a lower power to get your quick flash durations... ive tried TT5s and they do not operate consistently above 1/250... got rid of them.
good luck having dependable consistent lighting is a must and time saver...
it allows us to concentrate on the creative rather than the system misfiring and loosing time and potential beautifully captured images