Just because something catches your eye doesn't mean it's necessarily the best option for F-Class shooting. Because you already have a 6BR that is shooting 0.3 to 0.6 MOA groups at 500 yd, I would suggest using that setup to participate in some midrange F-Class matches in your area; whatever you can find. While at those matches, I would be looking very carefully at the rifle stocks, front rests, and rear bags other competitors are using, particularly those competitors that are placing at/near the top of the leader board. Nothing is better than inspecting a potential equipment buy up close and in person.
I would also suggest leaving any preconceived notions (if there are any) about possible choices at home. See what the folks are using successfully first, then look into prices and begin to form an opinion of what equipment might best suit your needs and budget. Then notion of looking for support from others for a puchase choice you may have already decided upon in your mind can end up being very expensive, and not just in terms of money. Most F-Class shooters are more than willing to talk to others about their setups - i.e. what they're using, why they chose a particular item, how well it is working for them, and whether it might have any shortcomings. This is exactly the kind of information that can help you make purchases that will allow you to accomplish your goals without breaking the bank.
As a final consideration, a "budget" or "economy" piece of equipment that doesn't do the job isn't really economical at all. In fact, it's usually a complete waste of money, because you will most often end up having to buy something else later that does work. In other words, the money spent on the piece of equipment that ultimately was unsatisfactory and had to be replaced was totally wasted. Saving money is great, but sometimes you have to spend a bit of money in order to save a bit of money. F-Class equipment can sometimes be a great example of this concept. It's analogous to the statement of "buy once, cry once". Regardless of the specific piece of equipment, there are lots of different manufacturers and lots of different choices. No matter how much is spent on a piece of equipment, it has to effectively do the job. Cheapest is not always best, nor is most expensive guaranteed to be the best. Seeing what equipment others are successfully using is a great way to start narrowing down one's potential choices into a manageable list, as well as helping to cull items that might look great in a magazine or online advertisement, but that have already been found by others to be unsatisfactory.
