Hi Diego; Welcome to Permies!
Well that is a lot of information, let me give you some answers and alternative choice's.
First I will ask were you thinking to build a traditional J tube rocket mass heater?
Next I will ask do you know about batch box RMH ?
Here is a website that tells all about batch box's
http://batchrocket.eu/en/
A batch can be built in 5" and even a 4".
Next I want to give you my highly recommended choice. Walker stoves has a riserless rmh! No height problems at all. And they are set up around cooking.
Here is his website
http://walkerstoves.com/index.html
Go to his site and check out his tiny masonry cook stove heater. I think you will like it.
Matt just sells you the plan. You use local materials and build it your self.
I realize you said that money is tight and you may not be able to build a riserless core right now, but I wanted you to know about the possibility.
So I will try to answer a few of our questions.
Yes I think the BBQ brick with the holes filled, with crushed refractory and clay will work.
Firebrick for the burn tunnel is good. A perlite clay riser is a good choice.
Regular brick can be used after the core, even concrete block can be used to surround a mass.
I think no problem with the pipe being near the esparto. Pipe temp will be low.
A clay brick chimney going vertical will work as well.