A high cycle gun is just a gun that has the internals upgraded a little to have a higher rate of fire. Mostly it's motor and gears that make this happen.
People love the TM high cycle because it is an out of the box solution. You don't have to make any modifications to get that high rate of fire.
You can make any gun shoot faster. And TM HC guns are not doing anything that can't be done with upgrade parts.
A basic new TM HC P90 is in the £300 range.
A bog standard TM P90 isn't a lot cheaper £250
You can modify a cheap P90 and make it cycle fast.
The Cyma p90 is about £90. It will shoot reasonably well out of the box. (it will need a spring downgrade to 350fps. Ask the seller about this before you buy). Taiwangun will do this for free but you must ask for the service.
https://www.taiwangun.com/en/free-downgrade.html
https://www.taiwangun.com/en/electric-3/cm-060b-cyma?from=listing&campaign-id=19
You can put an 11.1v lipo in it to instantly boost the RPS. Or you can run it on 7.4v Lipo's (recommended) and think about an internals upgrade path.
An investment of less than £100 will buy you:
13:1 gearset. £15
HT motor. £30
Shims. £5
Mosfet. £10
Upgraded bucking £10
Silver wire £10.
Deans connectors £3
Inner barrel £15
https://www.ak2m4.co.uk/index.php?route=common/home
The upgrades do not need to be done all at once. And can be staggered. The only issue is you have to do the upgrades yourself. And it will take some research and a decent amount of technical skill to upgrade.
The most basic upgrade is the motor £30. It can be done to the gun without modifying the gearbox. That should boost the RPS significantly over the stock motor.
The Bucking can also be done without opening the gearbox. The benefit of this is relative to the Cyma bucking. If the bucking is poor then you'll see a significant boost in accuracy and range. If the stock bucking is decent the gains will be marginal. The inner barrel is a decent upgrade. A 6.03 ZCI inner barrel isn't going to break the bank, will give a slight FPS boost, and should improve the accuracy a little.
The mosfet and wire are done to protect the trigger contacts. This prolongs the life of the electronic parts of the gun. It's a nice addition but not essential if you are running 7.4v lipo batteries. You will need to know how to solder and rebuild the gearbox to install.
The Deans connectors offer a less electrically resistive battery connection. You get a very minor RPS boost from it.
The shims are essential for the gear upgrade. The two work together. A well-shimmed set of gears is quieter, and the gears themselves work with the motor to have a final outcome of about 25 RPS if done correctly and at the same time also improve trigger response.
The TM is the better out of the box gun in all forms. The CYMA can be made as good as the stock TM (nonHC) with just the bucking, ZCI inner barrel, and a motor. (£60 investment).
The upgrade paths for most guns are similar, and since you have stated you are budget limited I would pick a cheaper base gun and do staged upgrades. You can always ask on here if you need help and advice, and it'll keep the startup costs as low as possible for you. You MUST be willing to learn, and have some basic tools to go this route And be prepared to get very frustrated when things don't go to plan on the first attempt. It takes time to learn gearbox internals.