Terry,
What type of scope do you plan on mounting? If you mount a shotgun scope with lots of eye relief, you just might be able to use that Weaver base. I have the standard rail (top rail in quick's pic) on my Huntsman. Depending on the scope, ocular bell, eye relief, you might be able to get away with Medium rings as long as you have a hamer spur extension. You will probably want that extension, so I would suggest ordering the rail & extension from H&R/NEF.
If you use the Weaver without a hammer extension, you will more than likely have to use High rings. Let us know what your scope and ring budget is, and we will be able to help you better.
Make sure you use the ramrod as designed, push bullet in as far as you can while collapsed, then extend and seat bullet on charge. I have never had a problem with mine doing it that way, but I also only use the supplied ramrod for follow up shots in the field. If you have another rod (range rod) use that for all your range work and cleaning.
The ramrod is about $8 from H&R/NEF.