That's a ham HT, if you are using it on GMRS frequencies that's all it will do unless you unlock it. I would recommend looking at the Btech gmrs-V2, UV-9G, GM-30 etc. These are GMRS radios and will work on GMRS frequencies.
An easy test for receive is to put in the WX channels.
This tool will give you a good idea of lines of sight. https://www.scadacore.com/tools/rf-path/rf-line-of-sight/ Remember RF can be a little funny, but this is a good start.
Look around at different ways to make a 20'-30' mast. Ask your local ham club too, there are many ways to skin this cat. Check FB market place, etc for masts too.
A better HT wont help, you need to get your antenna higher. if you want to try this with you HT, look into a N9TAX roll up jpole with 16' cable. Assuming a 5' radio height this will put the antenna at 21' vastly increasing your range. Granted you have to support the antenna with a rope over a tree limb or have the antenna lashed to a fiberglass pole and attached to a mast of some sort.
For more permanent installations you can think of getting pretty high up. In my relatively flat area 25'-40' is good enough for most things. The higher your antenna the longer feed line you'll need. "regular" RG-8x wont cut it. You'll lose a ton of signal (line loss).
The N9tax jpoles are pretty good for discrete mounting too. If the roof and insulation allow (ie not metallic) a small yagi in the attic might work too.
I have the N9TAX GMRS/Murs w/16' and BNC connector. Use it on my mobile/Base. I love it. Gets me out to repeaters 30-40 miles distance.
If you need to mount it to a pole, lash it to a 5' driveway marker using zip ties.
walmart has cheap cookie trays and step bits...
or this might be helpful https://www.409shop.com/409shop_product.php?id=124688
googled "surecom groundplane"
I would be mounting it some thing like this. A driveway marker serving as primary structure for the antenna while the pole serves to elevate the assembly. There are about 18" between the bottom of the slim Jim and top of the wooden pole. Currently the antenna sits about 20" off the gutter.
Since y'all opened the floor for mast questions:
What are your thoughts on 24' extendable painters poles for mobile/temporary/emcomm masts?
Do I need to guy or brace any extensions (factory produced) for J-mounts?
The goal height for my antenna is ~30ft ( house ridge is 25 ft).
Antennas in the running are N9tax slim Jim, Ed Fong J-pole, and Tram Browning 6140. Cable will most likely be LMR600 and it will be grounded.