Ah.
Slowmover probably has more helpful info, as he drives OTR. The K0BG.com site is geared toward the mobile ham operator in a standard passenger car or truck, but there's still a lot of good info.
I have a 2 ft Firestick clone on the Class C RV (Ford E450) on a hood channel / front fender mount. I trimmed it to resonance on 27.325 MHz, Channel 32 or so, not by choice but because that's where I ended up with some over-aggressive pruning. The sleeper overhang leaves exactly 25 inches of clearance from the hood to the bottom of the sleeper bunk, so the "tunable tip" antennas don't fit. Had to use the old fashioned cut-to-tune type. The Bearcat 880 is fine with the SWR from Channel 13 to Channel 40, but below Channel 13 it starts to roll off the output power. A 2ft antenna is pretty narrowband and can't be trimmed to cover all 40 channels reasonably, though. Your 5ft Firestick2 should be easier to tune, as they get more broadband the longer the antenna.
Maybe try some 1/4 inch snap-on Mix 31 or Mix 43 ferrite beads at the feed point to reduce any common-mode currents coming back down the coax. Here's the 1/4 inch diameter for RG-58 or RG-8X cable.
For RG-8/U or RG-213, you use the 1/2 inch diameter beads.
If they're out in the weather, you can put an extra zip tie around them to keep them in place, and a zip tie on the outer jacket of the cable below the bead to keep it from sliding up/down the coax. But other than that, I think you're done for now.
If the antenna is resonant where you want it (reactance X=0 at the desired frequency) and you want to improve the match further, the MFJ 907 tapped transformer (
https://mfjenterprises.com/products/mfj-907) placed as close to the antenna's feedpoint as possible can improve the match. A vertical antenna with proper grounding and resonant at the operating frequency is always going to have an impedance lower than 50 ohms and require a transformer to bring it up to 50 ohms. But I would think any standard sideband radio like a Bearcat 980 or President McKinley will be happy with 1.41:1 SWR on 38 LSB and not be rolling back its output power to protect the finals.
If you're going to be running non-FCC approved power, I'll defer to the folks who know about the matching/SWR requirements for those devices. Looks like an AnyTone AT-6666 in your avatar, so there's probably some SWR requirements or a spec in the manual for that radio. I think it does 15 watts AM carrier and 60 watts swing, with SWR protection that triggers if the SWR is too high.