RT slow first thing in the morning

I’ve had complaints that RT is slow first thing in the morning. What
appears to be happening is that logrotate reloads apache early in the
morning, and this also causes our RT FastCGI instances to reload. For
some reason, the first request each FastCGI process serves takes a long
time (loading data/config/caches and such I assume). All requests
served after that respond normally. Is there a way to get RT FastCGI
processes to pre-load/pre-cache whatever they need when they start, so
they’re ready to serve that first request quickly?

Debian 5.0, Apache 2.2.9, mod_fastcgi 2.4.6, RT 3.8.2 installed from