If it sounds like I don't know what I'm doing it's because I probably don't.
More like not knowing what you're asking. You say you want to shoot at a local club match... and if I skimmed this thread carefully enough, you seem to be describing a competition for a decent 18+ pound rifle supported by a bipod in the front and some sort of rear bag - e.g., a typical PRS rifle of the sort used by a great many people on this site.
Suggestion: ask the match director what "official rules" are in place. These might influence your decision.
I compete at a sort-of-similar rimfire match each month... and there are written rules for it. No machine rests, for example, of the type used in true bench rest disciplines.
I suspect that many people here have no "dream gun" because every time they build a rifle, they shoot it awhile and want to try something else. That's the case with me. My primary interest is PRS-style matches, plus the little gallery-style .22 match. I just built my 4th "dream rifle" - a RimX-based .22LR. Not because there is anything wrong at all with my 2nd "dream rifle," a Vudoo .22LR. The 3rd "dream rifle" is a Defiance Deviant-based, ZCO-scoped rifle which wears a 6.5CM, 6BR, or .223 barrel, which replaced my first "dream rifle..." In the 5+ years I've chased rifle, I've had three factory bolt guns (Tikka centerfire, CZ .22), three custom centerfires (Defiance, Terminus, Stiller actions), and two custom/semi-custom .22s (Vudoo, RimX). I've happily used Jewell, Timney, and TriggerTech triggers - all are very similar but I've settled on TT. Optics have settled on Vortex Razors (gen-2, gen-3) and the lone ZCO - the ZCO is better than the gen-3 Razor but not, to me, $1000 worth of better which is why I have two gen-3s - lots of scope for the $. Barrels on the centerfires are all Bartlein... and even though my RimX isn't even four months old yet, I'd probably try different bits if there wasn't a price hit. Please note: THERE WAS NOTHING "WRONG" WITH ANY OF THESE RIGS; I CHANGED STUFF BECAUSE I COULD.
Bottom line: There is no "best gun" because people like different things and what you like will change as you learn. With your budget of $5-7k, you have a lot of choices - so my suggestion would be to build something with the idea you'll probably want to change it so resale is a thing. For additional guidance, you might want to call places like Southern Precision Rifle (bugholes.com), Altus Shooting Solutions (altusshooting.com), CS Tactical (cstactical.com), Mile High Shooting (milehighshooting.com)... there are MANY reputable outfits that can help you. And at the price point you've posted, differences across brands will be more preferential than performative. Example: I have two .223s. One is built on a Terminus Apollo action (currently ~$1300) and the other on Defiance Deviant (currently ~$1750). Both have Bartlein barrels and live in MDT ACC chassis. One Timney trigger, the other has a TriggerTech. They feel different to run - both are super-smooth but the Terminus is a 60-degree bolt, the Definace 90 degree - their accuracy is identical.
There's a lot in this post to consider and MUCH more left out because it seems like you're where I was in 2018. You can read all you want, but the only way to learn to ride a bike is get on one and pedal.