I recently did another round of research on this issue and landed on basal bark spraying as the most effective/efficient method for eliminating both MFR and honeysuckle. I have personally used pulling, cut and spray, and foliar spraying methods in the past but will likely exclusively use this method if the results are satisfactory. Here is a link if you want to "dig in" :
grasslandnetwork
Last weekend I used this method and put together the recommended 20% Triclopyr (Garlon 4)/80% basal oil carrier mix to stem spray MFR and bush honeysuckle. [Note: my mix was 20% of Garlon 4, not 20% of the active ingredient]. I bought a birchmeier 2.5 gallon sprayer to use with this mix as it supposedly has better internal components to stand up to the basal oil carrier. I have been impressed so far and the size seems perfect.
I did find it difficult to avoid overspraying as no matter how I adjusted the tip my target stems were too small to avoid my spray mix getting to the ground. If this method works, it is much easier and efficient compared to cut and spray methods or even foliar spraying (especially if MFR or BH has large crown.) Additionally, this method is supposedly effective year round, if so, its even more appealing in my book as I don't need to be dealing with ticks or pressuring the land nearer hunting season.
I will report back to IW the results of my spraying and more information if I get a good kill and don't have too much collateral damage. It is also worth mentioning that the costs of the herbicide, basal carrier, and sprayer varied wildly so its worth spending some time locating the best price.