Hello Charlie,
I cannot say anything about how InfraRecorder is today, but it worked fine many years ago when I used it on a Windows XP computer. The guide at http://www.howtoanswer.com/quick-guide-of-infrarecorder-free-cd-dvd-burning-soft ware--156.html could possibly be of interest (Write speed is shown in a Burn Compilation window near the end of the document).
I have used a PC with various Linux distributions (and their respective burning applications) to burn downloaded (.hqx or .bin) Mac files to a CD-R. These CD-R discs could be read without difficulty in an external Apple SCSI CD-ROM drive connected to a System 7.5.3 PowerBook 540, so I cannot imagine that a similar transfer between a Windows 7 PC and a Mac OS 8.6 Performa 6200CD would be impossible (of course, the Apple CD-ROM extension must be active on the Performa).
Cross-platform segmenting of a large file (onto several floppies) is not always easy. We do not want to damage the BinHex (.hqx) file and any self-extracting archive (.sea) inside. The BinHex encoding protects the Mac content (with resource and data forks). So, in this case, I recommend that you fully try the CD-R route first. Once on the Performa, StuffIt Expander can be used to decode the single large .hqx file (whereby the contents can be accessed).
Normally, unless there are special issues/conflicts (see, for example, the comment by Jeff above), it should be OK to have all Extensions and Control Panels active.
Jan