I was thinking of an indoor window sill, David. Out of the snow. I seem to recall you let your place get quite cool during the day while you are at work (a thread a while ago?) which would suit keeping basil cuttings going as long as you have enough natural light for them, or you could keep them going in a greenhouse, too.
Starting some plants from seed is very tricky, so don't feel bad that you only got two plant out of your portulaca seed packet. As you get more experienced at it, your results will improve. Again, this is an exercise in patience as much as growing your gardening skills.
You need to pick your battles - grow things from seed that are easy. Have you tried Nasturtium? They are gorgeous, start easily from seed and love a hot, dry climate like yours.
If you really want portulaca, I would buy transplants already started. They die on me here, because of the humidity so I feel your pain.