Thank you Robert. You put me on the right trail. I made some changes before following along however.
After a brief search last night I found the supported linux versions page, which referenced 2.6 as required, and also found the application builder guide which mentioned X11. damnsmalllinux is 2.4, and does not use X11. So I decided that change was in order before going further, and switched to SLAX. This gives me 2.6 and X, while still allowing me to run off a small compact flash drive (no rotating media allowed for this app). I'll happily try any other distro recommended that fits, but for now I am on SLAX.
Back on the trail: Starting with labview-rte-aal-1.0-1.i386.rpm and labview71-rte-7.1-1.i386.rpm I converted the rpms to tgzs (rpm2tgz), which I then changed into mo's (tgz2mo), which were in turn loaded using uselivemod. Quite a few files showed up in /usr/local/lib/LabVIEW-7.1 & usr/local/share/natinst, so it looked like it worked.
I then tried to run my executable and got the error message
"Can't find LabVIEW runtime library liblvrt.so.7.1
Make sure this library is installed in your LD_LIBRARY_PATH
search path, or in /usr/lib"
I looked for liblvrt.so.7.1 and found it in /usr/local/lib/LabVIEW-7.1
I copied it to /usr/lib, then running the executable netted
"Can't load LabVIEW runtime library /usr/lib/
libLVMesaGL.so.3: cannot open shared object"
Looking back in /usr/local/lib/LabVIEW-7.1 I noticed that libLVMesaGL.so.3 was in there too. I tried
echo $LD_LIBRARY_PATH
nothing there, so I then deleted the file from /usr/bin and tried LD_LIBRARY_PATH=/usr/local/lib/LabVIEW-7.1
Now running the executable nets me
"Can't find LabVIEW runtime library liblvrt.so.7.1
Make sure this library is installed in your LD_LIBRARY_PATH
search path, or in /usr/lib"
I checked to make sure that liblvrt.so.7.1 is still in /usr/local/lib/LabVIEW-7.1, it is.
In summary, the files appear to be out there, but I cannot seem to point at them correctly. Any thoughts?