CAN I setup a combination of alpha r36a, AWUSO36NH and a Tupavco TP513 Yagi WiFi Antenna 2.4GHz 17dBi Angle H:25° V:24 Outdoor Directional Wireless antenna, and I don’t want to keep a PC in my RV

What are you trying to accomplish ?

I have an RV, and will be on the road starting in the spring until fall. I’m trying to be able access the internet to stream Netflix and others to the smart TV in the RV but I don’t want to keep a laptop on the road with me, I just want the streaming to the smart TV and internet access on my iPad

3g Mifi device should do the trick..

Ok, I’m not sure what 3g mini is?

I need another option I don’t want to create a mobile hotspot and don’t want to use a data plan

Will my original configuration work?

Yeah sure why not..

But my last part of the question is, will I need to keep a laptop in the RV to reconfigure or reconnect at every campground I go to?

Probably.

Some where along the line you will need a data plan or account with an ISP.
Unless you are considering using insecure public wifi.

Using insecure public wifi, only streaming Netflix to my smart TV, Will my configuration work? And must I keep a laptop along with me to reconfigure and reconnect at every campground that I stop at?