Howdy Randy if you type "rental properties in Beaumont Alberta" into Google you will come up with a good list of sites, there are not an abundant amount of sites as you indicated however...
I have compiled most of my rental comps in that area from the
Fort Saskatchewan Record, the local newspaper in the area. Click on the classified ads area, then run a search.
Finally, if you are having a tough time finding many rental ads, this can be a good sign (not much for competition). Then broaden your search to include some of the other areas for your comparables. (ie. Fort Sask., even into North East Edmonton)
If you are having trouble setting your rental levels, you may want to run a `test ad` and for a small investment you can find out if your ad generates any potential candidates for rentals.
Trust this helps
RW