Sticking with your alpine theme, I'd say this amp would serve you quite well:
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&category=18797&item=3090063498&rd=1
Plenty of power for those type-R subs, make sure you get the dual 2 ohm coils so you can parralell/series wire them to a 2 ohm load to draw maximum power from the amp.
Another option would be to get a 2 channel such a this one,
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&category=18796&item=3090297691&rd=1
With this amp, you would want to get the 4 ohm versions of hte subs so you could run each sub in parallel and draw a 2 ohm load on each channel to get maximum wattage.
In my opinion, the mono amp would work better, but if price is an issue, the 2 channel will work just as well
Another option is that if you think you may eventually expand, is to get a 4 channel amp and bridge it to two channels, with the plans of using it to power your interior speakers in teh future, and upgrading your sub amp. For this route, I would go with this amp:
http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&category=4950&item=3089555302&rd=1
with this amp you would want the dual 2 ohm coils so you could wire them in series to achieve a 4 ohm load on the bridged pairs of outputs on the amp.
So there are your options if you want to stick with alpine. There are lots of other options out there if you are open to trying other things, but I have always felt a system is slicker if you stick with one manufacturer.
Hope this was helpful, and if you need clarification on wiring, and power output, i'd be more than happy to elaborate.
Dave