For example, here's a 44.1 kHz frequency sweep file played in TAL-Drum, with the project running at 48 kHz:

And here's the same file played in Reaper's ReaSamplOmatic5000, using 64pt Sinc Interpolation:

Maybe some additional latency is inevitable, but that 64pt mode has just 38 samples of latency, for example, which isn't too bad.
